THEORY OF FINSLER SUBMANIFOLDS VIA BERWALD CONNECTION
نویسندگان
چکیده
منابع مشابه
Toward a Gravitation Theory in Berwald–Finsler Space
Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. It is defined as a function on tangent bundle of a manifold. We use the Bianchi identities satisfied by Chern curvature to set up a gravitation theory in Berwald-Finsler space. The geometric part of the gravitational field equation is nonsymmetric i...
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Based on a definition for circle in Finsler space, recently proposed by one of the present authors and Z. Shen, a natural definition of extrinsic sphere in Finsler geometry is given and it is shown that a connected submanifold of a Finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field, if and only if its circles coincide with circles of the ambient...
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ژورنال
عنوان ژورنال: International Electronic Journal of Geometry
سال: 2014
ISSN: 1307-5624
DOI: 10.36890/iejg.594500