Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry

Abstract

In this paper, we examine the proper semi-slant pseudo-Riemannian submersions in para-Kaehler geometry and prove some fundamental results on such submersions. In particular we obtain curvature relations in para-Kaehler space forms. Moreover, we provide examples of proper semi-slant pseudo-Riemannian submersions.