On the torsion of spaces with connection

Ivan Kolář

Czechoslovak Mathematical Journal (1971)

  • Volume: 21, Issue: 1, page 124-136
  • ISSN: 0011-4642

How to cite

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Kolář, Ivan. "On the torsion of spaces with connection." Czechoslovak Mathematical Journal 21.1 (1971): 124-136. <http://eudml.org/doc/12574>.

@article{Kolář1971,
author = {Kolář, Ivan},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {124-136},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the torsion of spaces with connection},
url = {http://eudml.org/doc/12574},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Kolář, Ivan
TI - On the torsion of spaces with connection
JO - Czechoslovak Mathematical Journal
PY - 1971
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 21
IS - 1
SP - 124
EP - 136
LA - eng
UR - http://eudml.org/doc/12574
ER -

References

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  1. B. Cenkl, On the Higher Order Connections, Cahiers de topologie et géométrie différentielle, IX, 11-32 (1967). (1967) Zbl0197.47801MR0233300
  2. С. Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de Topologie, Bruxelles 1950, 29-55. (1950) 
  3. С. Ehresmann, Extension du calcul des jets aux jets non-holonomes, CRAS Paris, 239, 1762-1764 (1954). (1954) Zbl0057.15603MR0066734
  4. С. Ehresmann, Applications de la notion de jet non holonome, CRAS Paris, 240, 397-399 (1955). (1955) Zbl0064.16401MR0066735
  5. С. Ehresmann, Les prolongements d'un espace fibré différentiable, CRAS Paris, 240, 1755 - 1757 (1955). (1955) Zbl0064.17502MR0071083
  6. С. Ehresmann, Sur les connexions d'ordre supérieur, Atti del V° Congresso del l'Unione Mathematica Italiana, 1955, Roma Cremonese, 344-346. (1955) 
  7. S. Kobayashi K. Nomizu, Foundations of Differential Geometry, New York-London - Sydney, 1963. (1963) 
  8. I. Kolář, On the Higher Order Connections on Principle Fibre Bundles, (Czech), Sborník VAAZ Brno, 1969, 1, 39-47. (1969) 
  9. I. Kolář, Order of Holonomy and Geometric Objects of Manifolds with Connection, Comm. Math. Univ. Carolinae, 10, 559-565 (1969). (1969) MR0264539
  10. N. Que, 10.5802/aif.255, Ann. Inst. Fourier, Grenoble, 17, 157-223 (1967). (1967) MR0221416DOI10.5802/aif.255
  11. A. Švec, Projective Differential Geometry of Line Congruences, Prague 1965. (1965) MR0199806
  12. A. Švec, Cartan's Method of Specialization of Frames, Czechoslovak Math. J., 16 (91), 552-599 (1966). (1966) Zbl0156.20601MR0229172

Citations in EuDML Documents

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  1. Michal Krupka, Anti-holonomic jets and the Lie bracket
  2. Anton Dekrét, On a Pair of Manifolds with Connection
  3. Anton Dekrét, Horizontal structures on fibre manifolds
  4. Ján Brajerčík, Order reduction of the Euler-Lagrange equations of higher order invariant variational problems on frame bundles
  5. Anton Dekrét, On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles
  6. Anton Dekrét, On a Pair of Connections on a Principal Fibre Bundle
  7. Ivan Kolar, Higher order torsions of spaces with Cartan connection
  8. Ivan Kolář, Higher order torsions of manifolds with connection
  9. Ivan Kolář, A generalization of the torsion form
  10. Ivan Kolář, On manifolds with connection

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