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On submanifolds of Sasakian manifolds

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Abstract

The object of the present paper is to introduce a new type of invariant submanifolds, namely, mixed-invariant submanifolds of Sasakian manifolds and to show that everymixed-invariant submanifold of a Sasakian manifold is totally geodesic. 2-quasi-umbilical hypersurface of a Sasakian space form is also studied.

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Authors and Affiliations

  1. Department of Mathematics, University of Burdwan, Burdwan, 713104, West Bengal, India

    Avijit Sarkar

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  1. Avijit Sarkar
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Correspondence to Avijit Sarkar.

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Submitted by P.N. Ivanshin

The author is supported by U. G. C. Minor Research Project, India.

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Sarkar, A. On submanifolds of Sasakian manifolds. Lobachevskii J Math 32, 88–94 (2011). https://doi.org/10.1134/S1995080211010045

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