Invariant submanifolds of (LCS)n-Manifolds with respect to quarter symmetric metric connection

Shyamal Kumar Hui; Laurian-Ioan Piscoran; Tanumoy Pal

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arXiv · 1706.09159

Invariant submanifolds of (LCS)n-Manifolds with respect to quarter symmetric metric connection

Shyamal Kumar Hui·Laurian-Ioan Piscoran·Tanumoy Pal

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Abstract

The object of the present paper is to study invariant submanifolds of (LCS)n-manifolds with respect to quarter symmetric metric connection. It is shown that the mean curvature of an invariant submanifold of (LCS)n-manifold with respect to quarter symmetric metric connection and Levi-Civita connection are equal. An example is constructed to illustrate the results of the paper. We also obtain some equivalent conditions of such notion.

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Shyamal Kumar Hui, Laurian-Ioan Piscoran, Tanumoy Pal. 2017-06-28. Invariant submanifolds of (LCS)n-Manifolds with respect to quarter symmetric metric connection. https://arxiv.org/abs/1706.09159

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