On the Flatness of Weakly Symmetric Kähler Manifolds

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Published: 2014-12-15
Keywords:
Weakly symmetric manifold, Kähler manifold, concircularly symmetric manifold, W2-manifold.

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B. B. Chaturvedi
Department of Pure and Applied Mathematics Guru Ghasidas Vishwavidyalaya Bilaspur (C.G.), India
Pankaj Pandey
Department of Pure and Applied Mathematics Guru Ghasidas Vishwavidyalaya Bilaspur (C.G.), India

Abstract

In this paper, we have studied conformally flat weakly symmetric, concircularly flat weakly symmetric and W2-flat weakly symmetric Kähler manifolds and proved that in such type of manifoldseither the scalar curvature vanishes or the manifolds are of recurrent type.

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Vol. 18 No. 4 (2014): Table of Content

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

1.
On the Flatness of Weakly Symmetric Kähler Manifolds. J. Int. Acad. Phys. Sci. [Internet]. 2014 Dec. 15 [cited 2026 Oct. 23];18(4):279-84. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/321

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