On the infinitesimal geometric objects of submanifolds

Ivan Kolář

Archivum Mathematicum (1973)

  • Volume: 009, Issue: 4, page 203-211
  • ISSN: 0044-8753

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Kolář, Ivan. "On the infinitesimal geometric objects of submanifolds." Archivum Mathematicum 009.4 (1973): 203-211. <http://eudml.org/doc/15961>.

@article{Kolář1973,
author = {Kolář, Ivan},
journal = {Archivum Mathematicum},
language = {eng},
number = {4},
pages = {203-211},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the infinitesimal geometric objects of submanifolds},
url = {http://eudml.org/doc/15961},
volume = {009},
year = {1973},
}

TY - JOUR
AU - Kolář, Ivan
TI - On the infinitesimal geometric objects of submanifolds
JO - Archivum Mathematicum
PY - 1973
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 009
IS - 4
SP - 203
EP - 211
LA - eng
UR - http://eudml.org/doc/15961
ER -

References

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  1. Husemoller D., Fibre Bundles, New York etc., 1966. (1966) Zbl0144.44804MR0229247
  2. Kobayashi S., Nomizu K., Foundations of Differential Geometry, I, New York-London-Sydney, 1963. (1963) Zbl0119.37502
  3. Kolář I., Geometric objects of submanifolds of a space with fundamental Lie pseudogroup, Comment. Math. Univ. Carolinae, 11, 227-234 (1970). (1970) MR0266081
  4. Kolář I., Canonical forms on the prolongations of principle fibre bundles, Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). (1971) MR0301668
  5. Kolář I., On the prolongations of geometric object fields, An. Sti. Univ. "Al. I. Cuza" Iasi, 17, 437-446 (1971). (1971) MR0305278
  6. Kolář I., On the invariant method in differential geometry of submanifolds, to appear. MR0428231
  7. Kolář I., On manifolds with connection, Czechoslovak Math. J. 23 (98). 34-44 (1973) (1973) MR0315620
  8. Kolář I., Higher order torsions of manifolds with connection, Arch. Math. (Brno), 8,149-156 (1972) (1972) MR0331265
  9. Kolář I., On the prolongations of differentiable distributions, Mat. Časopis SAV, 23, 317-325 (1973) (1973) MR0336770
  10. Laptěv G. F., Differential geometry of imbedded manifolds, (Russian), Trans. Moscow Math. Soc., 2, 275-382 (1953). (1953) MR0057601
  11. Mihailescu T., Geometrie diferentiala proiectiva, Bucuresti 1958. (1958) MR0112079
  12. Pohl F. W., Differential geometry of higher order, Topology, 1, 169-211 (1962). (1962) Zbl0112.36605MR0154293

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