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...
متن کاملProjective invariants of an orthogonal ennuple in a Finsler space
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متن کاملThe Equations of the Indicatrix of a Complex Finsler Space
In this paper we extend the study of the indicatrix of a complex Finsler space initiated in [10, 11]. The equations that can be introduced on the indicatrix, which is studied as a hypersurface of a complex Finsler space, are investigated. In this manner, using the equations of Gauss-Weingarten, the link between the intrinsic and induced connection is deduced. The equations of Gauss, H -and A-Co...
متن کاملContact structures on the indicatrix of a complex Finsler space
Continuing the study of the complex indicatrix IzM , approached as an embedded CR hypersurface on the punctual holomorphic tangent bundle of a complex Finsler space, we study in this paper the almost contact structures that can be introduced on IzM . The Levi form and characteristic direction of the complex indicatrix are given and the CR distributions integrability is studied. Using these we c...
متن کاملA Class of Anisotropic (finsler-) Space-time Geometries
A particular Finsler-metric proposed in [1,2] and describing a geometry with a preferred null direction is characterized here as belonging to a subclass contained in a larger class of Finsler-metrics with one or more preferred directions (null, spaceor timelike). The metrics are classified according to their group of isometries. These turn out to be isomorphic to subgroups of the Poincaré (Lore...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1963
ISSN: 2156-2261
DOI: 10.1215/kjm/1250524783