On manifolds with connection

Ivan Kolář

Czechoslovak Mathematical Journal (1973)

  • Volume: 23, Issue: 1, page 34-44
  • ISSN: 0011-4642

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Kolář, Ivan. "On manifolds with connection." Czechoslovak Mathematical Journal 23.1 (1973): 34-44. <http://eudml.org/doc/12699>.

@article{Kolář1973,
author = {Kolář, Ivan},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {34-44},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On manifolds with connection},
url = {http://eudml.org/doc/12699},
volume = {23},
year = {1973},
}

TY - JOUR
AU - Kolář, Ivan
TI - On manifolds with connection
JO - Czechoslovak Mathematical Journal
PY - 1973
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 23
IS - 1
SP - 34
EP - 44
LA - eng
UR - http://eudml.org/doc/12699
ER -

References

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  1. É. Cartan, Leçons sur la théorie des espaces à connexion projective, Paris 1937. (1937) Zbl0016.07603
  2. С. Ehresmann, Applications de la notion de jet non holonome, CRAS Paris, 240, 397-399 (1955). (1955) Zbl0064.16401MR0066735
  3. I. Kolář, Order of holonomy and geometric objects of manifolds with connection, Comm. Math. Univ. Carolinae, 10, 559-565 (1969). (1969) MR0264539
  4. I. Kolář, Geometric objects of submanifolds of a space with fundamental Lie pseudogroup, Comment. Math. Univ. Carolinae, 11, 227-234 (1970). (1970) MR0266081
  5. I. Kolář, On the torsion of spaces with connection, Czechoslovak Math. J., 21 (96), 124-136 (1971). (1971) MR0293531
  6. I. Kolář, On the contact of spaces with connection, to appear in J. Differential Geometry. MR0415660
  7. I. Kolář, Canonical forms on the prolongations of principle fibre bundles, Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). (1971) MR0301668
  8. I. Kolář, On the prolongations of geometric object fields, An. Sti. Univ. "A1. I. Cuza" Iasi, 17,437-446(1971). (1971) MR0305278
  9. I. Kolář, On the fundamental geometric object fields on submanifolds, (Russian), to appear. MR0375113
  10. I. Kolář, On the absolute differentiation of geometric object fields, to appear in An. Polon. Math. MR0326593
  11. I. Kolář, Higher order torsions of manifolds with connection, to appear in Arch. Math. (Brno). MR0331265
  12. G. F. Laptěv, Differential geometry of imbedded manifolds, (Russian), Trans. Moscow Math. Soc. 2, 275-382 (1953). (1953) MR0057601
  13. A. Švec, Projective Differential Geometry of Line Congruences, Prague 1965. (1965) MR0199806
  14. A. Švec, Cartan's method of specialization of frames, Czechoslovak Math. J., 16 (91), 552-599 (1966). (1966) Zbl0156.20601MR0229172

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