Sixtieth birthday of Professor Ivan Kolář

Archivum mathematicum, Tome 32 (1996) no. 4, pp. 241-248

Bibliographie

I. Kolář: The application of Cartan’s method to general nets on surfaces in three-dimensional projective space (Czech). Rozpravy CSAV, Academia, Praha 1967.

I. Kolář: Introduction into Thom’s catastrophe theory (Czech). Academia, Praha 1988.

A. Cabras, D. Canarutto, I. Kolář, M. Modugno: Structured Bundles. Pitagora Editrice, Bologna 1991.

I. Kolář, P. W. Michor, J. Slovák: Natural Operations in Differential Geometry. Springer–Verlag, 1993. | MR

M. Katětov, I. Kolář, P. Simon, E. G. Sklyarenko: The mathematical legacy of Eduard Čech. Academia Praha–Birkhauser Basel, 1993. | MR

V. Havel, I. Kolář, K. Svoboda: La méthode du réperage des systemes de sous-variétés. CMUC 5 (1964), 183–201. | MR

I. Kolář: On Lenz’s problem on the independence of the axioms of affine space. CMUC 6 (1965), 339–346. | MR

I. Kolář: Conjugate nets of axial and axial-radial types with respect to the congruences of canonical lines with variable index (Russian). Čas. pěst. mat. 91 (1966), 64–71. | MR

I. Kolář: Geometric structure with Hilbert’s axioms of incidence and order. Čas. pěst. mat. 91 (1966), 384–388. | MR

I. Kolář: On extended connections. CMUC 9 (1968), 687–690. | MR

I. Kolář: On the higher order connections on principal fiber bundles (Czech). Sborník VAAZ Brno, řada B (1969), 39–47.

I. Kolář: Order of holonomy and geometric objects of manifolds with connection. CMUC 10 (1969), 559–565. | MR

I. Kolář: Geometric objects of submanifolds of a space with fundamental Lie pseudogroup. CMUC 11 (1970), 227–234. | MR

I. Kolář: Order of holonomy of a surface with projective connection. Čas. pest. mat. 96 (1971), 73–80. | MR

I. Kolář: Complex velocities on real manifolds. Czechoslovak Math. J. 21 (1971), 118–123. | MR

I. Kolář: On the torsion of spaces with connection. Czechoslovak Math. J. 21 (1971), 124–136. | MR

I. Kolář: Higher order torsions of spaces with Cartan connection. Cahiers Topol. Géom. Diff. 12 (1971), 137–146. | MR

I. Kolář: Canonical forms on the prolongations of principal fibre bundles. Rev. Roumaine Math. Pures Appl. 16 (1971), 1091–1106. | MR

I. Kolář: On the prolongations of geometric object fields. An. Sti. Univ. ’Al. I. Cuza’ Iasi 17 (1971), 437–446. | MR

I. Kolář: The contact of spaces with connection. J. Differential Geometry 7 (1972), 563–570. | MR

I. Kolář: Higher order torsions of manifolds with connection. Arch. Math. (Brno) 8 (1972), 149–156. | MR

I. Kolář: A generalized point of view to osculating spaces. Rendiconti di Matematica, (4), Serie VI 5 (1972), 731–743. | MR

I. Kolář: On the absolute differentiation of geometric object fields. Ann. Polon. Math. 27 (1973), 293–304. | MR

I. Kolář: On manifolds with connection. Czechoslovak Math. J. 23 (1973), 34–44. | MR

I. Kolář: On the prolongations of differentiable distributions. Matematický časopis SAV 23 (1973), 317–325. | MR

I. Kolář: On the infinitesimal geometric objects of submanifolds. Arch. Math. (Brno) 9 (1973), 203–211. | MR

I. Kolář: Some higher order operations with connections (preliminary communication). CMUC 14 (1973), 761–766. | MR

I. Kolář: On the reducibility of connections on the prolongations of vector bundles. Colloq. Math. 30 (1974), 245–257. | MR

I. Kolář: Some higher order operations with connections. Czechoslovak Math. J. 24 (1974), 311–330. | MR

I. Kolář: On some operations with connections. Math. Nachrichten 69 (1975), 297–306. | MR

I. Kolář: A generalization of the torsion form. Čas. pěst. mat. 100 (1975), 284–290. | MR

I. Kolář: Generalized G-structures and G-structures of higher order. Boll. Un. Mat. Ital., Suppl. fasc. 3 12 (1975), 245–256. | MR

I. Kolář: On the Hamilton formalism in fibered manifolds. Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 5 (1975), 249–254. | MR

I. Kolář: Affine differential operators and the Hamilton formalism. Knižnice VUT Brno B56 (1975), 17–21. | MR

I. Kolář: On the jet prolongations of smooth categories. Bull. Acad. Polon. Sci., Sér. math. 24 (1976), 883–887. | MR

I. Kolář: On the invariant method in differential geometry of submanifolds. Czechoslovak Math. J. 27 (1977), 96–113. | MR

I. Kolář: On the Euler-Lagrange differential in fibered manifolds. Reports on Mathematical Physics 12 (1977), 301–305. | MR

I. Kolář: Fundamental vector fields on associated fiber bundles. Čas. pěst. mat. 102 (1977), 419–425. | MR

I. Kolář: Induced connections and connection morphisms. CSSR-GDR-Polish Scientific School on Differential Geometry, Proceedings (1978), 125–132.

I. Kolář: Structure morphisms of prolongation functors. Math. Slovaca 30 (1980), 83–93. | MR

I. Kolář: On the automorphisms of principal fiber bundles. CMUC 21 (1980), 309–312. | MR

I. Kolář: Lie derivatives and natural operators. Eighth Winter School on Abstract Analysis, Abstracts, Mathematical Institute of the CSAV, Praha (1980), 108–109.

I. Kolář: On generalized connections. Beitrage zur Algebra und Geometrie 11 (1981), 29–34. | MR

I. Kolář: Connections in 2-fibered manifolds. Arch. Math. (Brno) 17 (1981), 23–30. | MR

I. Kolář: Fiber parallelism and connections. Lecture Notes in Mathematics, 838, Springer-Verlag (1981), 165–173. | MR

J. Janyška, I. Kolář: Lie derivatives on vector bundles. Proceedings of the Conference on Diff. Geom. and its Applications, Universita Karlova Praha (1982), 111–116. | MR

I. Kolář: Lie derivatives and higher order Lagrangians. Proceedings of the Conference on Diff. Geom. and its Applications, Universita Karlova Praha (1982), 117–123. | MR

I. Kolář: Prolongations of generalized connections. Colloquia Matematica Societatis János Bolyai, 31. Differential Geometry, Proceedings, North Holland (1982), 317–325. | MR

I. Kolář, V. Lešovský: Structure equations of generalized connections. Čas. pěst. mat. 107 (1982), 253–256. | MR

I. Kolář: On the second tangent bundle and generalized Lie derivatives. Tensor, N. S. 38 (1982), 98–102. | MR

M. Horák, I. Kolář: On the higher order Poincaré-Cartan forms. Czechoslovak Math. J. 33 (1983), 467–475. | MR

I. Kolář: Functorial prolongations of Lie groups and their actions. Čas. pěst. mat. 108 (1983), 289–293. | MR

I. Kolář: Some geometric aspects of the higher order variational calculus. Proceedings of the Conference on Diff. Geom. and its Applications, Nové Město na Moravě 2 (1983), 155–166. | MR

I. Kolář: Higher order absolute differentiation with respect to generalized connections. Differential Geometry, Banach Center Publications 12 (1984), 153–162. | MR

I. Kolář: A geometrical version of the higher order Hamilton formalism in fibered manifolds. J. Geometry and Physics 1 (1984), 127–137. | MR

I. Kolář: Natural transformations of the second tangent functor into itself. Arch. Math. (Brno) 20 (1984), 169–172. | MR

I. Kolář, I. Vadovičová: On the structure function of a G-structure. Math. Slovaca 35 (1985), 277–282. | MR

J. Janyška, I. Kolář: On the connections naturally induced on the second order frame bundle. Arch. Math. (Brno) 22 (1986), 21–28. | MR

I. Kolář: Natural operations with connections on second order frame bundles. Colloquia Mathematica Societatis János Bolyai, 46. Topics in Differential Geometry, Proceedings, North Holland (1986), 715–732. | MR

I. Kolář: Covariant approach to natural transformations of Weil functors. CMUC 27 (1986), 723–729. | MR

I. Kolář: Some natural operators in differential geometry. Differential Geometry and Its Applications, Proceedings, D. Reidel (1987), 91–110. | MR

I. Kolář, G. Vosmanská: Natural operations with second order jets. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 14 (1987), 179–186. | MR

I. Kolář, P. W. Michor: All natural concomitants of vector valued differential forms. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 16 (1987), 101–108. | MR

I. Kolář: Some natural operations with connections. J. of National Academy of India 5 (1987), 127–141. | MR

I. Kolář, Z. Radziszewski: Natural transformations of second tangent and cotangent functors. Czechoslovak Math. J. 38 (1988), 274–279. | MR

I. Kolář: On the natural operators on vector fields. Ann. Global Anal. Geom. 6 (1988), 109–117. | MR

I. Kolář: Lie derivatives of sectorform fields. Colloq. Math. LV (1988), 71–78. | MR

I. Kolář: Functorial prolongations of r-connections. Lecture Notes KMU Leipzig 88-08 (1988), 1-10.

M. Doupovec, I. Kolář: On the natural operators transforming connections to the tangent bundle of a fibred manifold. Knižnice VUT Brno B119 (1988), 47–56.

I. Kolář, G. Vosmanská: Natural transformations of higher order tangent bundles and jet spaces. Čas. pěst. mat. 114 (1989), 181–185. | MR

I. Kolář, J. Slovák: On the geometric functors on manifolds. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 21 (1989), 223–233. | MR

I. Kolář: On some gauge-natural operators. Seminari dell’Istituto di Matematica Applicata, Firenze (l989), 1–11.

I. Kolář, M. Modugno: On the algebraic structure on the bundles of higher order velocities. Seminari dell’Istituto di Matematica Applicata, Firenze (1989), 1–17.

I. Kolář: Natural operators transforming vector fields and exterior forms into exterior forms. Zeszyty naukowe Politechniki Slaskej, Matematyka-Fizyka 64 (1990), 135–139.

I. Kolář, J. Slovák: Prolongation of vector fields to jet bundles. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 22 (1990), 103–111. | MR

I. Kolář: General natural bundles and operators. Differential Geometry and Its Applications, Proceedings, Brno, World Scientific (1990), 69–78. | MR

I. Kolář, M. Modugno: On the algebraic structure on the jet prolongations of fibered manifolds. Czechoslovak Math. J. 40 (1990), 601–611. | MR

J. Gancarzewicz, I. Kolář: Some gauge-natural operators on linear connections. Monatshefte Math. 111 (1991), 23–33. | MR

I. Kolář, M. Modugno: Natural maps on the iterated jet prolongation of a fibered manifold. Annali di Mat. pura ed applicata CLVIII (1991), 151–165. | MR

I. Kolář: Gauge-natural operators transforming connections to the tangent bundle. The Mathematical Heritage of C. F. Gauss, World Scientific (1991), 416–426. | MR

A. Cabras, I. Kolář, M. Modugno: General structured bundles. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 26 (1991), 105–111. | MR

M. Doupovec, I. Kolář: Natural affinors on time-dependent Weil bundles. Arch. Math. (Brno) 27 (1991), 205–209. | MR

I. Kolář: Natural bundles and operators (Russian). Problemy geometrii, VINITI Moskva 23 (1991), 67–98. | MR

A. Cabras, I. Kolář: Special tangent-valued forms and the Frolicher-Nijenhuis bracket. Arch. Math. (Brno) 29 (1991), 71–82. | MR

I. Kolář: Some gauge-natural operators on connections. Colloquia Mathematica Societatis János Bolyai, 56. Differential Geometry, Proceedings, Janos Bolayi Math. Soc. Budapest and Elsevier, Amsterdam (1992), 435–445. | MR

I. Kolář, M. Modugno: Torsions of connections on some natural bundles. Differential Geometry and its Applications 2 (1992), 1–16. | MR

J. Gancarzewicz, I. Kolář: Natural affinors on the extended r-th order tangent bundles. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 30 (1993), 95–100. | MR

I. Kolář: Gauge-natural forms of Chern-Weil type. Ann. Global Anal. Geom. 11 (1993), 41–47. | MR

I. Kolář: An abstract characterization of the jet spaces. Cahiers Topol. Géom. Diff. Catégoriques XXXIV (1993), 121–125. | MR

I. Kolář: On the natural operators transforming vector fields to the r-th order tensor power. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 32 (1993), 15–20. | MR

I. Kolář: Natural operators related with the variational calculus. Differential Geometry and Its Applications, Proceedings Opava (1993), 461–472. | MR

I. Kolář: On cotangent bundles of some natural bundles. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 37 (1994), 115–120. | MR

A. Cabras, I. Kolář: Prolongation of tangent valued forms to Weil bundles. Arch. Math. (Brno) 31 (1995), 139–145. | MR

A. Cabras, I. Kolář: Connections on some functional bundles. Czechoslovak Math. J. 45 (1995), 529–548. | MR

I. Kolář: Torsion-free connections on higher order frame bundles. New Developments in Differential Geometry, Proceedings, Kluwer (1996), 233–241. | MR

I. Kolář: Recent results and new ideas on Weil bundles. Proceedings of the Conference on Geometry and Topology, Timisoara, July 5–9, 1994, Editura MIRTON, Timisoara, 1996, 127–136.

I. Kolář: An infinite dimensional motivation in higher order geometry. Differential Geometry and Applications, Proceedings, Masaryk University, Brno, 1996, 151–159. | MR

I. Kolář: Natural operations on higher order tangent bundles. Extracta Matematica 11 (1996), 106-115. | MR

I. Kolář, G. Virsik: Connections in first principal prolongations. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 43 (1996), 163–171. | MR

I. Kolář, M. Modugno: The Frolicher-Nijenhuis bracket on some functional spaces. to appear in Ann. Polon. Math.. | MR

A. Cabras, I. Kolář: The universal connection of an arbitrary system. to appear in Annali di Mat.. | MR

A. Cabras, I. Kolář: On the iterated absolute differentiation on some functional bundles. to appear in Arch. Math. (Brno). | MR

I. Kolář: On holonomicity criteria in second order geometry. to appear. | MR

I. Kolář, M. Sekanina: 60th anniversary of birthday of Karel Svoboda (Czech). Pokroky MFA 24 (1979), 53–54.

I. Kolář: Cogitation about differential geometric work of Eduard Čech (Czech). Pokroky MFA 25 (1980), 306–312. | MR

I. Kolář: Czech geometry in last fourty years and some contemporary trends in differential geometry (Czech). Sborník: Vývoj matematiky v ČSR v období 1945-1985 a její perspektivy, Universita Karlova, Praha 1986, 70–87.

I. Kolář: Geometry in contemporary mathematics and its role in education (Czech). Pokroky MFA 34 (1989), 41–54.

Z. Došlá, I. Kolář: About the testament of Professor Pelíšek (Czech). Pokroky MFA 37 (1992), 303–304.

I. Kolář: Professor Eduard Čech (Czech). Sborník: Brněnská věda a umění meziválečného období (1918-1939) v evropském kontextu, Masarykova universita, Brno 1993, 212–214.

I. Kolář, J. Rosický, F. Šik: 100th anniversary of birthday of Eduard Čech. Arch. Math. (Brno) 29 (1993), i-ii. | MR

I. Kolář: 100th anniversary of birthday of Eduard Čech. Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 37 (1994), 13–14. | MR

I. Kolář: Some contemporary trends in mathematics and their relations to mathematical physics (Czech). Sborník: University na prahu nového tisíciletí, Masarykova universita, Brno 1995 I, 311–315.

I. Kolář: The role of geometry in contemporary mathematics (Czech). Matematika-fyzika-informatika 5 (1995/96), 393–398.

I. Kolář: Ladislav Seifert. Folia Historica, Faculty of Science, Masaryk University Brno No 32 (May 1996).

I. Kolář: Eduard Čech. Folia Historica, Faculty of Science, Masaryk University Brno No 34 (June 1996).

I. Kolář: Erlangen Program (Czech). Matematika v 19. století, Sborník, Prometheus Praha 1996, 83-87. | MR