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A. C. Asperti, G. A. Lobos and F. Mercuri. Pseudo-Parallel immersions in Space Forms. Math. Contemp. 17(1999), 59-70.

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Article

Some Classes of Invariant Submanifolds of LP-Sasakian Manifolds

1Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, 60150, Tokat, Turkey


Turkish Journal of Analysis and Number Theory. 2020, Vol. 8 No. 2, 28-33
DOI: 10.12691/tjant-8-2-2
Copyright © 2020 Science and Education Publishing

Cite this paper:
MEHMET ATÇEKEN. Some Classes of Invariant Submanifolds of LP-Sasakian Manifolds. Turkish Journal of Analysis and Number Theory. 2020; 8(2):28-33. doi: 10.12691/tjant-8-2-2.

Correspondence to: MEHMET  ATÇEKEN, Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, 60150, Tokat, Turkey. Email: mehmet.atceken382@gmail.com

Abstract

The object of the present paper is to study invariant pseudo parallel submanifolds of a LP-Sasakian manifold and obtain the conditions under which the submanifolds are pseudoparallel, 2-pseudoparallel, generalized pseudoparallel and 2-generalized pseduoparallel. Finally, a non-trivial example is used to demonstrate that the method presented in this paper is effective.

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