Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds
We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite com...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/356263 |
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| author | Sangeet Kumar Rakesh Kumar R. K. Nagaich |
| author_facet | Sangeet Kumar Rakesh Kumar R. K. Nagaich |
| author_sort | Sangeet Kumar |
| collection | DOAJ |
| description | We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for a GCR-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. |
| format | Article |
| id | doaj-art-cb3ae85f1efe40399b8e11bf38152e97 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-cb3ae85f1efe40399b8e11bf38152e972025-02-03T05:44:36ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/356263356263Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike SubmanifoldsSangeet Kumar0Rakesh Kumar1R. K. Nagaich2Department of Applied Sciences, Rayat Institute of Engineering & Information Technology, Railmajra, SBS Nagar, Punjab 144533, IndiaDepartment of Basic and Applied Sciences, University College of Engineering, Punjabi University, Patiala 147002, IndiaDepartment of Mathematics, Punjabi University, Patiala 147002, IndiaWe obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature of GCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for a GCR-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.http://dx.doi.org/10.1155/2012/356263 |
| spellingShingle | Sangeet Kumar Rakesh Kumar R. K. Nagaich Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds Advances in Mathematical Physics |
| title | Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds |
| title_full | Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds |
| title_fullStr | Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds |
| title_full_unstemmed | Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds |
| title_short | Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds |
| title_sort | characterization of holomorphic bisectional curvature of gcr lightlike submanifolds |
| url | http://dx.doi.org/10.1155/2012/356263 |
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