scholarly journals Submersions of generic submanifolds of a Kaehler manifold

2014 ◽  
Vol 20 (1) ◽  
pp. 119-131
Author(s):  
Tanveer Fatima ◽  
Shahid Ali
Keyword(s):  
Kaehler Manifold ◽  
Generic Submanifolds

scholarly journals Generic submanifolds of a locally conformal Kaehler manifold-II

1993 ◽  
Vol 16 (3) ◽  
pp. 557-564 ◽  
Author(s):  
M. Hasan Shahid ◽  
Kouei Sekigawa
Keyword(s):  
Generic Product ◽  
Kaehler Manifold ◽  
Totally Umbilical ◽  
Generic Submanifolds ◽  
Parallel Structures ◽  
Totally Umbilical Submanifolds ◽  
Locally Conformal

The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifold. Moreover, we give some examples of generic submanifolds of a locally conformal Kaehler manifold which are notCR-submanifolds.

scholarly journals Generic Submanifolds of Nearly Kaehler Manifolds with Certain Parallel Canonical Structure

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Qingqing Zhu ◽  
Biaogui Yang
Keyword(s):  
Point Of View ◽  
Real Hypersurfaces ◽  
Kaehler Manifold ◽  
Kaehler Manifolds ◽  
Generic Submanifolds ◽  
Geometric Point ◽  
Complex Submanifolds ◽  
Generic Submanifold ◽  
Nearly Kaehler Manifold ◽  
Totally Real

The class of generic submanifold includes all real hypersurfaces, complex submanifolds, totally real submanifolds, and CR-submanifolds. In this paper we initiate the study of generic submanifolds in a nearly Kaehler manifold from differential geometric point of view. Some fundamental results in this paper will be obtained.

A note on derived connections from semi-symmetric metric connections

2017 ◽  
Vol 67 (1) ◽  
pp. 221-226
Author(s):  
Adela Mihai
Keyword(s):  
Open Problem ◽  
Complex Structure ◽  
Kaehler Manifold ◽  
Different Types ◽  
Metric Connection

Abstract In this paper we construct examples of different types of connections starting from a semi-symmetric metric connection g, for example a connection which is a symmetric metric connection with respect to a conformally related metric, but symmetric non-metric with respect to the initial metric. We formulate an open problem: to find a parallel complex structure on a Kaehler manifold with respect to such a new connection.

Reduction theorem of the codimension of minimal generic submanifolds in a complex projective space

1995 ◽  
Vol 54 (2) ◽  
pp. 137-143
Author(s):  
Sung-Baik Lee ◽  
Seung-Gook Han ◽  
Nam-Gil Kim ◽  
Masahiro Kon
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Reduction Theorem ◽  
Generic Submanifolds ◽  
Complex Projective

scholarly journals Contact Hypersurfaces of a Bochner–Kaehler Manifold

2013 ◽  
Vol 64 (1-2) ◽  
pp. 155-163
Author(s):  
Amalendu Ghosh ◽  
Ramesh Sharma
Keyword(s):  
Kaehler Manifold

scholarly journals CR-submanifolds of a Kaehler manifold. I

1981 ◽  
Vol 16 (2) ◽  
pp. 305-322 ◽  
Author(s):  
Bang-yen Chen
Keyword(s):  
Kaehler Manifold ◽  
Cr Submanifolds

scholarly journals On totally umbilicalCR-submanifolds of a Kaehler manifold

1993 ◽  
Vol 16 (2) ◽  
pp. 405-408
Author(s):  
M. A. Bashir
Keyword(s):  
Sectional Curvature ◽  
Mean Curvature ◽  
Curvature Vector ◽  
Lens Space ◽  
Holomorphic Sectional Curvature ◽  
Mean Curvature Vector ◽  
Kaehler Manifold ◽  
Totally Umbilical ◽  
The Mean

LetMbe a compact3-dimensional totally umbilicalCR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector ofMdoes not vanish, thenMis either diffeomorphic toS3orRP3or a lens spaceLp,q3.

Some results on normal GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds

2019 ◽  
Vol 16 (03) ◽  
pp. 1950037
Author(s):  
Megha ◽  
Sangeet Kumar
Keyword(s):  
Sufficient Conditions ◽  
Characterization Theorem ◽  
Kaehler Manifold ◽  
Kaehler Manifolds ◽  
Holomorphic Bisectional Curvature ◽  
Necessary And Sufficient ◽  
Nearly Kaehler Manifold ◽  
Lightlike Submanifolds ◽  
Lightlike Submanifold ◽  
Normal Formula

The purpose of this paper is to study normal [Formula: see text]-lightlike submanifolds of indefinite nearly Kaehler manifolds. We find some necessary and sufficient conditions for an isometrically immersed [Formula: see text]-lightlike submanifold of an indefinite nearly Kaehler manifold to be a normal [Formula: see text]-lightlike submanifold. Further, we derive a characterization theorem for holomorphic bisectional curvature of a normal [Formula: see text]-lightlike submanifold of an indefinite nearly Kaehler manifold.

scholarly journals First Chern class and holomorphic tensor fields

1980 ◽  
Vol 77 ◽  
pp. 5-11 ◽  
Author(s):  
Shoshichi Kobayashi
Keyword(s):  
Vector Bundle ◽  
Cotangent Bundle ◽  
Symmetric Tensor ◽  
Complex Vector Bundle ◽  
Tensor Fields ◽  
Kaehler Manifold ◽  
Complex Vector ◽  
Tensor Power ◽  
Holomorphic Sections ◽  
First Chern Class

Let M be an n-dimensional compact Kaehler manifold, TM its (holomorphic) tangent bundle and T*M its cotangent bundle. Given a complex vector bundle E over M, we denote its m-th symmetric tensor power by SmE and the space of holomorphic sections of E by Γ(E).

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