Extensions of constant curvature

In this paper, we discuss some examples of two dimensional spaces of constant curvature and their Riemannian extensions.Publisher's Versio

Kenmotsu manifolds admitting Schouten-Van Kampen Connection

The objective of the present paper is to study Kenmotsu manifold admitting Schouten-van Kampen connection. We study Kenmotsu manifold admitting Schouten-van Kampen connection satisifying certain curvature conditions. Also we prove equivalent conditions for Ricci soliton in a Kenmotsu manifold is steady with respect to the Schouten-van Kampen connection