On the Flatness of Weakly Symmetric Kähler Manifolds

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Published: Dec 15, 2014
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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1.
B. B. Chaturvedi, Pankaj Pandey. On the Flatness of Weakly Symmetric Kähler Manifolds. J. Int. Acad. Phys. Sci. [Internet]. 2014 Dec. 15 [cited 2025 May 5];18(4):279-84. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/321
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Vol. 18 No. 4 (2014): Table of Content
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Articles
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