Anti-invariant and Clairaut anti-invariant pseudo-Riemannian submersions in para-Kenmotsu geometry

Abstract

In this paper, we describe anti-invariant and Clairaut anti-invariant pseudo-
Riemannian maps (AIPR and CAIPR maps, respectively, brie y) from para-Kenmotsu manifolds onto Riemannian manifolds. We introduce new Clairaut circumstances for antiinvariant submersions whose total space is para-Kenmotsu manifold. Also, we offer a obvious example of CAIPR map.