Titlebook: Geometry of Cauchy-Riemann Submanifolds; Sorin Dragomir,Mohammad Hasan Shahid,Falleh R. Al- Book 2016 Springer Science+Business Media Sing

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Planungsrelevante Definitionen, of a manifold with an almost complex structure is CR, by Bejancu, if it has a differentiable holomorphic distribution . such that its orthogonal complement . is a totally real distribution. A CR-submanifolds of . has to be at least three-dimensional, so with disregarding the hypersurfaces which are

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萬花筒

,Der Gelenk- oder Gerbertr?ger,uation. We naturally have various dualistic geometric objects on it. In this article, the basics for statistical submanifolds in holomorphic statistical manifolds are given. We define the sectional curvature for a statistical structure, and study CR-submanifolds in a holomorphic statistical manifold

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Minatory

,Die einfachsten statisch bestimmten Tr?ger,spheres. In addition, the relationship between .-ideal CR submanifolds and critical points of the .-bienergy functional is mentioned. Some topics about variational problem for the .-bienergy functional are also presented.

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Einfache lineare Regression — II . of a Kaehler manifold . onto an almost Hermitian manifold ., Kobayashi (cf. Kobayashi, Tohoku Math. J. 39, 95–100, 1987, [.]) proved that . becomes a Kaehler manifold. In this article, we briefly summarize the contributions on submersions of CR submanifolds of some almost Hermitian manifolds and

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Grundbegriffe statistischer Testss compatible with the Hermitian structure, we recall the results on mixed foliate, normal mixed totally geodesic and totally umbilical CR-submanifolds of a Kaehler manifold. Finally, CR-submanifolds have been studied within the frame-work of space-time (in particular, of general relativity).

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