منابع مشابه
The Cr-geometry of the Complex Indicatrix
In this paper is studied the differential geometry of the complex indicatrix, which is approached as an embedded CR hypersurface of the punctual holomorphic tangent bundle of a complex Finsler space. Following the study of CR submanifolds of a Kähler manifold and using the submanifold formulae there are investigated some properties of the complex indicatrix, such as the fact that it is an extri...
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 کاملGeodesics on the Indicatrix of a Complex Finsler Manifold
In this note the geometry of the indicatrix (I, L̃) is studied as a hypersurface of a complex Finsler space (M,L). The induced Chern-Finsler and Berwald connections are defined and studied. The induced Berwald connection coincides with the intrinsic Berwald connection of the indicatrix bundle. We considered a special projection of a geodesic curve on a complex Finsler space (M,L), called the ind...
متن کاملClassification of contact structures associated with the CR-structure of the complex indicatrix
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure. Moreover, using the classification of the almost contact metric structures associated with a strongly pseudo-convex CRstructure, of D. Chinea and C. Gonzales, we determine th...
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ژورنال
عنوان ژورنال: Nature
سال: 1949
ISSN: 0028-0836,1476-4687
DOI: 10.1038/163729b0