A characterization of tangent and stable tangent bundles

M. De León; E. Merino; J. A. Oubiña; M. Salgado

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 61, Issue: 1, page 1-15
  • ISSN: 0246-0211

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De León, M., et al. "A characterization of tangent and stable tangent bundles." Annales de l'I.H.P. Physique théorique 61.1 (1994): 1-15. <http://eudml.org/doc/76646>.

@article{DeLeón1994,
author = {De León, M., Merino, E., Oubiña, J. A., Salgado, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {tangent bundles; integrable stable tangent bundles; almost tangent structures},
language = {eng},
number = {1},
pages = {1-15},
publisher = {Gauthier-Villars},
title = {A characterization of tangent and stable tangent bundles},
url = {http://eudml.org/doc/76646},
volume = {61},
year = {1994},
}

TY - JOUR
AU - De León, M.
AU - Merino, E.
AU - Oubiña, J. A.
AU - Salgado, M.
TI - A characterization of tangent and stable tangent bundles
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 61
IS - 1
SP - 1
EP - 15
LA - eng
KW - tangent bundles; integrable stable tangent bundles; almost tangent structures
UR - http://eudml.org/doc/76646
ER -

References

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  1. [1] F. Cantrijn, J.F. Cariñena, M. Crampin and L.A. Ibort, Reduction of Degenerate Lagrangian Systems. J. Geom. Phys, 3, 1986, (3) p. 353-400. Zbl0621.58020MR894631
  2. [2] M. Crampin and G. Thompson, Affine Bundles and Integrable Almost Tangent Structures, Math. Proc. Camb. Phil. Soc., 98, 1985, p. 61-71. Zbl0572.53031MR789719
  3. [3] D. Chinea M. De León and J.C. Marrero, The Constraints Algorithm for Degenerate Non-Autonomous Lagrangian Systems, Proceedings Workshop Recent Topics in Differential Geometry, Puerto de la Cruz (Tenerife, Spain), Publ. Univ. La Laguna, Serie Informes, 32, 1991, p. 13-29. Zbl0734.58019
  4. [4] D. Chinea M. de León and J.C. Marrero, The Constraints Algorithm for Time-dependent Lagrangians, to appear in Journal of Mathematical Physics, 1994. Zbl0810.70014MR1279313
  5. [5] S. De Filippo, G. Landi, G. Marmo and G. Vilasi, Tensor fields defining a Tangent Bundle Structure, Ann. Inst. Henri Poincaré, 50, 1989 (2), p. 205-218. Zbl0752.58010MR1002820
  6. [6] L.A. Ibort and J. Marín-Solano, A Geometric Classification of Lagrangian Functions and the Reduction of Evolution Space, J. Phys. A: Math. Gen, 25, 1992, p. 3353-3367. Zbl0768.70013MR1167565
  7. [7] M. De León, M.H. Mello and P.R. Rodrigues, Reduction of Degenerate Non-autonomous Lagrangian Systems, Mathematical Aspects of Classical Field Theory, Seatle, Washington (USA), July 21-25, 1991. Ed. by Mark J. Gotay, Jerrold E. Marsden and Vincent Moncrief, Contemporary Mathematics, 132, 1992, p. 275-305. Zbl0770.58012
  8. [8] M. de León, J.A. Oubiña and M. Salgado, Integrable Almost s-Tangent Structures, to appear in Rendiconti di Matematica, 14, 1994. Zbl0814.53028MR1312820
  9. [9] M. De León and P.R. Rodrigues, Methods of Differential Geometry in Analytical Mechanics, North-Holland Math., Ser. 152, Amsterdam, 1989. Zbl0687.53001MR1021489
  10. [10] T. Nagano1-Forms with the Exterior Derivative of Maximal Rank, J. Differential Geometry, 2, 1968, p. 253-264 Zbl0172.46903MR239526
  11. [11] J.A. Oubiña, Almost S-Tangent Structures, Geometriae Dedicata14, 1983, p. 395-403. Zbl0525.53047MR723380
  12. [12] G. Thompson, Integrable Almost Cotangent Structures and Legendrian Bundles, Math. Proc. Camb. Phil. Soc., 101, 1987, p. 61-78. Zbl0629.53034MR877701
  13. [13] G. Thompson and U. Schwardmann, Almost Tangent and Cotangent Structure in the Large, Transactions of the Amer. Math. Soc., 327, 1991 (1), p. 313-328. Zbl0737.53035MR1012509

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