Cartan connection of transversally Finsler foliation
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2012)
- Volume: 66, Issue: 1
- ISSN: 0365-1029
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Abstract
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topAndrzej Miernowski. "Cartan connection of transversally Finsler foliation." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 66.1 (2012): null. <http://eudml.org/doc/289775>.
@article{AndrzejMiernowski2012,
abstract = {The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and uniqueness.},
author = {Andrzej Miernowski},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Finsler metric; normal bundle; Cartan connection},
language = {eng},
number = {1},
pages = {null},
title = {Cartan connection of transversally Finsler foliation},
url = {http://eudml.org/doc/289775},
volume = {66},
year = {2012},
}
TY - JOUR
AU - Andrzej Miernowski
TI - Cartan connection of transversally Finsler foliation
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2012
VL - 66
IS - 1
SP - null
AB - The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and uniqueness.
LA - eng
KW - Finsler metric; normal bundle; Cartan connection
UR - http://eudml.org/doc/289775
ER -
References
top- Alvarez Paiva, J. C., Duran, C. E., Isometric submersions of Finsler manifolds, Proc. Amer. Math. Soc. 129 (2001), no. 8, 2409-2417 (electronic).
- Kobayashi, S., Nomizu, K., Foundations of Differential Geometry, vol. I, Interscience Publishers, a division of John Wiley & Sons, New York-London, 1963.
- Miernowski, A., A note on transversally Finsler foliation, Ann. Univ. Mariae Curie-Skłodowska Sect. A 60 (2006), 57-64.
- Miernowski, A., Mozgawa, W., Lift of the Finsler foliation to its normal bundle, Differential Geom. Appl. 24 (2006), no. 2, 209-214.
- Molino, P., Riemannian Foliations, Progress in Mathematics, 73, Birkhauser Boston, Inc., Boston, MA, 1988.
- Spiro, A., Chern’s orthonormal frame bundle of a Finsler space, Houston J. Math. 25 (1999), no. 4, 641-659.
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