Konvexita (2. část)

Berger, Marcel

Pokroky matematiky, fyziky a astronomie, Tome 38 (1993) no. 4, pp. 202-211

Détail

Classification : 52-01, 52-02, 52Axx

Bibliographie

[1] Atiyah, M. F.: Angular Momentum. Convex Polyhedra and Algebraic Geometry. Proc. Edinburgh Math. Soc. 26 (1983), 121–138. | MR | Zbl

[2] Ball, K.: Cube slicing in ${\mathbb R}^n$. Proceed. A.M.S. 97 (1986), 465–473. | MR

[3] Ball, K.: Logarithmically concave functions and sections of convex sets in ${\mathbb R}^n$. Studia Math. 88 (1988), 69–84. | MR

[4] Ballmann, W., Gromov, M., Schroeder, V.: Manifolds of Negative Curvature. Birkhäuser 1985. | MR

[5] Barany, I., Füredi, Z.: Computing the volume is difficult. Discrete and Computational Geometry 2 (1987), 319–326. | MR

[6] Berger, M.: Geometry I and II. Springer 1987. | MR

[7] Bonnesen, T., Fenchel, W.: Theorie der konvexen Körper. Springer (reprint) 1974. | MR | Zbl

[8] Bourgain, J., Milman, V. D.: New volume ratio properties for convex symmetric bodies in ${\mathbb R}^n$. Inventiones Math. 88 (1987), 319–341. | MR

[9] Brascamp, H. J., Lieb, E. H.: Best constants in Young’s inequality. its converse and its generalization to more than three functions. Advances in Math. 20 (1976), 151–173. | MR | Zbl

[10] Bronsted, A.: An Introduction to Convex Polytopes. Springer 1983. | MR

[11] Burago, J. D., Zalgaller, V. A.: Geometric Inequalities. Springer 1988. | MR | Zbl

[12] Busemann, H.: Convex Surfaces. Interscience 1958. | MR | Zbl

[13] Conway, J. H., Sloane, N. J. A.: Sphere Packings. Lattices and Groups. Springer 1988. | MR | Zbl

[14] Coolidge, J.: Algebraic Plane Curves. Dover 1959. | MR | Zbl

[15] Danzer, L., Grünbaum, B., Klee, V.: Helly’s theorem and its relatives. AMS Proc. Sympos. 7 (1963).

[16] Eggleston, H. G.: Convexity. Cambridge University Press 1958. | MR | Zbl

[17] Erdös, P., Gruber, P. M., Hammer, J.: Lattice Points. Pitman Monographs and Surveys in Pure and Applied Mathematics, No. 39, John Wiley 1989.

[18] Ellison, W. J.: Waring’s problem. Amer. Math. Monthly 78 (1971), 10–36. | MR | Zbl

[19] Grötschel, M., Lovász, L., Schrijver, A.: Geometric Algorithms and Combinatorial Optimization. Springer 1988. | MR

[20] Gruber, P. M.: Aspects of convexity and its applications. Expositiones Math. 2 (1984), 47–83. | MR | Zbl

[21] Gruber, P. M., Wills, J. M.: Convexity and its Applications. Birkhäuser 1983. | MR | Zbl

[22] Grünbaum, B.: Convex Polytopes. Interscience 1967; U.M.I. Out-of-Print Books on Demand 1989. | MR

[23] Grünbaum, B., Shephard, G. C.: Tilings with Congruent Tiles. Bull. AMS 3 (1980), 951–973. | MR

[24] Grünbaum, B., Shephard, G. C.: Tilings and Patterns. Freeman 1987. | MR

[25] Guillemin, V., Sternberg, S.: Convexity properties of the moment mapping. Inventiones Math. 67 (1982), 491–513. | MR | Zbl

[26] Kiselman, C. O.: Smoothness of vector sums of plane convex sets. Math. Scand. 60 (1987), 239–252. | MR | Zbl

[27] Leichtweiss, K.: Konvexe Mengen. Springer 1980. | MR | Zbl

[28] Milman, V. D., Schechtman, G.: Asymptotic Theory of Finite Dimensional Normed Spaces. Springer Lecture Notes in Math., No 1200, 1986. | MR

[29] Oda, T.: Convex Bodies and Algebraic Geometry. Springer 1988. | MR | Zbl

[30] Rogers, C. A.: Packing and Covering. Cambridge University Press 1964. | MR | Zbl

[31] Shiohama, K.: Topology of complete and non-compact manifolds. In Advanced Studies in Pure Mathematics, No 3: Geometry of Geodesics and Related Topics, Kinokumya and North Holland, 1984. | MR

[32] Stanley, R. P.: Combinatorics and Commutative Algebra. Birkhäuser 1983. | MR | Zbl

[33] Szarek, S. J., Talagrand, M.: An isomorphic version of the Sauer-Shelah lemma and the Banach-Mazur distance to the cube. Preprint IHES, 1988. | MR

[34] Tölke, J., Wills, J. M.: Contributions to Geometry. Birkhäuser 1979. | MR

[35] Valentine, F. A.: Convex Sets. McGraw-Hill 1964. | MR | Zbl

[36] Walker, R. J.: Algebraic Curves. Princeton Univ. Press 1950. | MR | Zbl

[37] Zamfirescu, T.: Nearly all convex bodies are smooth and strictly convex. Monatshefte für Math. 103 (1987), 57–62. | MR | Zbl

[38] Zamfirescu, T.: Curvature properties of typical convex surfaces. Pacific J. Math. 131 (1988), 191–207. | MR | Zbl