Some Classes of Invariant Submanifolds of LP-Sasakian Manifolds

MEHMET ATÇEKEN^1,

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

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

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.

Keywords:
LP-Sasakian Manifold Pseudoparallel 2-pseudoparallel Ricci-Generalized Pseudoparallel Submanifolds

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