Geodesic
The tangent bundle of $p^r$-velocities over a homogeneous space
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 570-591
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1991.102492
Classification : 53C30, 53C35, 58A20 
@article{10_21136_CMJ_1991_102492,
     author = {Gancarzewicz, Jacek and Salgado, Modesto},
     title = {The tangent bundle of $p^r$-velocities over a homogeneous space},
     journal = {Czechoslovak Mathematical Journal},
     pages = {570--591},
     year = {1991},
     volume = {41},
     number = {4},
     doi = {10.21136/CMJ.1991.102492},
     mrnumber = {1134950},
     zbl = {0769.53030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102492/}
}
TY  - JOUR
AU  - Gancarzewicz, Jacek
AU  - Salgado, Modesto
TI  - The tangent bundle of $p^r$-velocities over a homogeneous space
JO  - Czechoslovak Mathematical Journal
PY  - 1991
SP  - 570
EP  - 591
VL  - 41
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102492/
DO  - 10.21136/CMJ.1991.102492
LA  - en
ID  - 10_21136_CMJ_1991_102492
ER  - 
%0 Journal Article
%A Gancarzewicz, Jacek
%A Salgado, Modesto
%T The tangent bundle of $p^r$-velocities over a homogeneous space
%J Czechoslovak Mathematical Journal
%D 1991
%P 570-591
%V 41
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102492/
%R 10.21136/CMJ.1991.102492
%G en
%F 10_21136_CMJ_1991_102492
Gancarzewicz, Jacek; Salgado, Modesto. The tangent bundle of $p^r$-velocities over a homogeneous space. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 4, pp. 570-591. doi: 10.21136/CMJ.1991.102492

[1] F. Adams: Lectures on Lie groups. W. A. Benjamin INC, New York-Amsterdam, 1969. | MR | Zbl

[2] S. Helgason: Differential Geometry, Lie Groups, and Symmetric spaces. Academic Press, New York, 1978. | MR | Zbl

[3] J. Gancarzewicz: Liftings of vector fields to natural bundles. Comptes Rendus Acad. Sciences, Paris 296(1982), 59-61. | MR

[4] J. Gancarzewicz: Liftings of functions and vector fields to natural bundles. Dissert. Math. CCXII, Warszawa 1983. | MR

[5] S. Kobayashi, K. Nomizu: Foundations of Differential Geometry. Interscience Publ., New York, vol. I (1963), vol. II (1969). | MR | Zbl

[6] I. Kolář: Functorial prolongations of Lie groups and their actions. Časop. Pěst. Mat. 108 (1983), 289-293. | MR

[7] O. Kowalski: Generalized symmetric spaces. Lect. Notes in Math., 105 Springer, 1980. | MR | Zbl

[8] A. Morimoto: Prolongations of geometric structures. Lect. Notes, Inst. Math. Nagoya University, 1969. | MR | Zbl

[9] A. Morimoto: Liftings of some types of tensor fields and connections to tangent bundle of $p^r$-velocities. Nagoya Math. J. 40 (1970), 13 - 31. | DOI | MR

[10] A. Morimoto: Liftings of tensor fields and connections to the tangent bundle of higher order. Nagoya Math. J. 40 (1970), 99-120. | DOI | MR

[11] M. Sekizawa: On complete lifts of reductive homogeneous spaces and generalized symmetric spaces. Czechoslovak Math. J. 36 (111) (1986), 516-534. | MR | Zbl

[12] M. Toomannian: Regular $s$-structure on TM. Tensor N. S. 42 (1985), 225 - 228. | MR

[13] K. Yano, S. lshihwa: Tangent and cotangent bundles. Marcel Dekker Inc., New York, 1973.

Cité par Sources :