Vector fields and connections on T M

Anton Dekrét

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 4, page 360-367
  • ISSN: 0528-2195

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Dekrét, Anton. "Vector fields and connections on $TM$." Časopis pro pěstování matematiky 115.4 (1990): 360-367. <http://eudml.org/doc/21780>.

@article{Dekrét1990,
author = {Dekrét, Anton},
journal = {Časopis pro pěstování matematiky},
keywords = {tangent bundle; connections; vector field; natural procedures},
language = {eng},
number = {4},
pages = {360-367},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Vector fields and connections on $TM$},
url = {http://eudml.org/doc/21780},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Dekrét, Anton
TI - Vector fields and connections on $TM$
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 4
SP - 360
EP - 367
LA - eng
KW - tangent bundle; connections; vector field; natural procedures
UR - http://eudml.org/doc/21780
ER -

References

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  1. A. Dekrét, Mechanical structures and connection, to appear. MR1040061
  2. J. Janyška, Geometric properties of prolongation functors, Časopis pӗst. mat. 110, (1985), 77-86. (1985) MR0791280
  3. J. Klein, Geometry of sprays, IUТАM-ISIMM Symposium on analytical mechanics, Тorino, 1982, 177-196. (1982) MR0773487
  4. I. Kolář, Some natural operators in differential geometгy, Proc. Сonf. on Diff. Geometry and Аpplications in Brno, D. Reidel Publ. Сompany, (1986), 91-110. (1986) MR0923346
  5. D. Krupka, Elementary theory of differential invariants, Аrch. Math. (Brno) 14 (1978), 207-214. (1978) Zbl0428.58002MR0512763
  6. P. Libermann M. Marle, Symplectic Geometry and Аnalytical Mechanics, D. Riedel Publ. Сompany, (1987). (1987) 
  7. A. Nijenluris, Natural bundles and their general properties, Diff. Geometry in honour of K. Yano, Kinokuniya, Тokio, (1972), 317-334. (1972) 
  8. M. Crampin, Аlternative Lagrangians in particle dynamics, Proc. Сonf. on Diff. Geometry and Аpplications in Brno, D. Reidel Publ. Сompany, (1986), 1-12. (1986) MR0923340

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