Classification of contact structures associated with the CR-structure of the complex indicatrix
نویسندگان
چکیده
منابع مشابه
Classification 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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15 صفحه اولThe 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 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...
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ژورنال
عنوان ژورنال: Analele Universitatii "Ovidius" Constanta - Seria Matematica
سال: 2017
ISSN: 1844-0835
DOI: 10.1515/auom-2017-0013