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Volume 32, Issue 2
Characterizations of Null Holomorphic Sectional Curvature of GCR-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds

R. Rani, S. Kumar, R. Kumar & R. K. Nagaich

DOI: 10.4208/ata.2016.v32.n2.2

Anal. Theory Appl., 32 (2016), pp. 122-134.

Published online: 2016-04

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  • Abstract

We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite nearly Kähler manifold and obtain characterization theorems for holomorphic sectional and holomorphic bisectional curvature. We also establish a condition for a GCR-lightlike submanifold of an indefinite complex space form to be a null holomorphically flat.

  • Keywords

Indefinite nearly Kähler manifold, GCR-lightlike submanifold, holomorphic sectional curvature, holomorphic bisectional curvature.

  • AMS Subject Headings

53C15, 53C40, 53C50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-122, author = {R. Rani, S. Kumar, R. Kumar and R. K. Nagaich}, title = {Characterizations of Null Holomorphic Sectional Curvature of GCR-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {2}, pages = {122--134}, abstract = {

We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite nearly Kähler manifold and obtain characterization theorems for holomorphic sectional and holomorphic bisectional curvature. We also establish a condition for a GCR-lightlike submanifold of an indefinite complex space form to be a null holomorphically flat.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n2.2}, url = {http://global-sci.org/intro/article_detail/ata/4659.html} }
TY - JOUR T1 - Characterizations of Null Holomorphic Sectional Curvature of GCR-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds AU - R. Rani, S. Kumar, R. Kumar & R. K. Nagaich JO - Analysis in Theory and Applications VL - 2 SP - 122 EP - 134 PY - 2016 DA - 2016/04 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n2.2 UR - https://global-sci.org/intro/article_detail/ata/4659.html KW - Indefinite nearly Kähler manifold, GCR-lightlike submanifold, holomorphic sectional curvature, holomorphic bisectional curvature. AB -

We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite nearly Kähler manifold and obtain characterization theorems for holomorphic sectional and holomorphic bisectional curvature. We also establish a condition for a GCR-lightlike submanifold of an indefinite complex space form to be a null holomorphically flat.

R. Rani, S. Kumar, R. Kumar and R. K. Nagaich. (2016). Characterizations of Null Holomorphic Sectional Curvature of GCR-Lightlike Submanifolds of Indefinite Nearly Kähler Manifolds. Analysis in Theory and Applications. 32 (2). 122-134. doi:10.4208/ata.2016.v32.n2.2
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