Characterization of Holomorphic Bisectional Curvature ofGCR-Lightlike Submanifolds-Reference-Cited by-同舟云学术

Characterization of Holomorphic Bisectional Curvature ofGCR-Lightlike Submanifolds

Published:2012 Issue: Volume:2012 Page:1-18
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Kumar Sangeet¹,Kumar Rakesh²^ORCID,Nagaich R. K.³

Affiliation:

1. Department of Applied Sciences, Rayat Institute of Engineering & Information Technology, Railmajra, SBS Nagar, Punjab 144533, India

2. Department of Basic and Applied Sciences, University College of Engineering, Punjabi University, Patiala 147002, India

3. Department of Mathematics, Punjabi University, Patiala 147002, India

Abstract

We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of aGCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature ofGCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for aGCR-lightlike submanifold of an indefinite complex space form to be null holomorphically flat. We also obtain some characterization theorems for holomorphic sectional and holomorphic bisectional curvature.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2012/356263.pdf

Reference20 articles.

1. CR-submanifolds of a complex space form

2. On CR-submanifolds of Hermitian manifolds

3. CR-submanifolds of a Kaehler manifold. I

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