The Journal of the Indian Mathematical Society

Kamla D. Singh ¹, Mukut Mani Tripathi ¹

Affiliations
1 Department of Mathematics and Astronomy, Lucknow University, Lucknow—226 007, IN

Abstract

The study of semi-invariant submanifolds of an almost contact metric manifold was initiated by A. Bejancu and N. Papaghiuc [2] and later developed by several authors. Subsequently, an analogous treatment of the semi-invariant submanifold of an almost paracontact metric manifold [6] was given in [5] and [8]. The purpose of the present paper is to define and study the semi-invariant submanifolds of an almost r-paracontact Riemannian manifold [4] which is a generalization of an almost paracontact metric manifold.

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