Cartan connection of transversally Finsler foliation
Andrzej Miernowski
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 66 (2012), / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and uniqueness.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:289775 
@article{bwmeta1.element.ojs-doi-10_17951_a_2012_66_1_41-48,
     author = {Andrzej Miernowski},
     title = {Cartan connection of transversally Finsler foliation},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {66},
     year = {2012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_1_41-48}
}

Andrzej Miernowski. Cartan connection of transversally Finsler foliation. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 66 (2012) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2012_66_1_41-48/

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.