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THE FUNDAMENTAL FORMULAS OF FINSLER SUBMANIFOLDS
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 Title & Authors
THE FUNDAMENTAL FORMULAS OF FINSLER SUBMANIFOLDS
Li, Jintang;
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 Abstract
Let be an isometric immersion from a Finsler manifold to a Finsler manifold. In this paper, we shall obtain the Gauss and Codazzi equations with respect to the Chern connection on submanifolds M, by which we prove that if M is a weakly totally geodesic submanifold of , then flag curvature of M equals flag curvature of .
 Keywords
Finsler submanifolds;Gauss equation;weakly totally geodesic;
 Language
English
 Cited by
1.
The pinching theorem for hypersurfaces of Minkowski spaces, Journal of Mathematical Analysis and Applications, 2012, 388, 2, 1285  crossref(new windwow)
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3.
A. Bejancu, Structure equations for Riemann-Finsler subspaces, C. R. Acad. Bulgare Sci. 40 (1987), no. 1, 37–40.

4.
Z. Shen, On Finsler geometry of submanifolds, Math. Ann. 311 (1998), no. 3, 549–576. crossref(new window)