Structure equations on generalized Finsler manifolds

Johanna Pék

Communications in Mathematics (2013)

  • Volume: 21, Issue: 2, page 97-106
  • ISSN: 1804-1388

Abstract

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In this paper we generalize the classical structure equations of Riemannian geometry to generalized Finsler manifolds.

How to cite

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Pék, Johanna. "Structure equations on generalized Finsler manifolds." Communications in Mathematics 21.2 (2013): 97-106. <http://eudml.org/doc/260789>.

@article{Pék2013,
abstract = {In this paper we generalize the classical structure equations of Riemannian geometry to generalized Finsler manifolds.},
author = {Pék, Johanna},
journal = {Communications in Mathematics},
keywords = {structure equations; Finsler manifold; Ehresmann connection; structure equations; Finsler manifolds; Ehresmann connection},
language = {eng},
number = {2},
pages = {97-106},
publisher = {University of Ostrava},
title = {Structure equations on generalized Finsler manifolds},
url = {http://eudml.org/doc/260789},
volume = {21},
year = {2013},
}

TY - JOUR
AU - Pék, Johanna
TI - Structure equations on generalized Finsler manifolds
JO - Communications in Mathematics
PY - 2013
PB - University of Ostrava
VL - 21
IS - 2
SP - 97
EP - 106
AB - In this paper we generalize the classical structure equations of Riemannian geometry to generalized Finsler manifolds.
LA - eng
KW - structure equations; Finsler manifold; Ehresmann connection; structure equations; Finsler manifolds; Ehresmann connection
UR - http://eudml.org/doc/260789
ER -

References

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  11. Moór, A., Entwicklung einer Geometrie der allgemeinen metrischen Linienelementräume, Acta Sci. Math. Szeged, 17, 1956, 85-120. (1956) Zbl0070.17202MR0091507
  12. Moór, A., Eine Verallgemeinerung der metrischen Übertragung in allgemeinen metrischen Räumen, Publ. Math. Debrecen, 10, 1963, 145-150. (1963) MR0181973
  13. Petersen, P., Riemannian Geometry, 1968, Springer, Berlin. (1968) 
  14. Szilasi, J., A Setting for Spray and Finsler Geometry, Handbook of Finsler Geometry, Vol. 2, 2003, 1182-1426, Kluwer Academic Publishers, Dordrecht. (2003) Zbl1105.53043MR2066454
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