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


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

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},

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 -


  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

  1. Anton Dekrét, On a Pair of Manifolds with Connection
  2. Anton Dekrét, Horizontal structures on fibre manifolds
  3. Michal Krupka, Anti-holonomic jets and the Lie bracket
  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, On manifolds with connection
  9. Ivan Kolář, Higher order torsions of manifolds with connection
  10. Ivan Kolář, A generalization of the torsion form

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