Generalized Kenmotsu Manifolds
Differential Geometry
2020-07-03 v1
Abstract
In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds. Later, such a manifold was called a Kenmotsu manifold. This paper, we studied Kenmotsu manifolds with -dimensional contact metric manifold and this manifold, we have called generalized Kenmotsu manifolds. Necessary and sufficient condition is given for an almost contact metric manifold to be a generalized Kenmotsu manifold.We show that a generalized Kenmotsu manifold is a locally warped product space. In addition, we study some curvature properties of generalized Kenmotsu manifolds. Moreover, we show that the % -sectional curvature of any semi-symmetric and projective semi-symmetric -dimensional generalized Kenmotsu manifold is .
Cite
@article{arxiv.1406.1032,
title = {Generalized Kenmotsu Manifolds},
author = {Aysel Turgut Vanli and Ramazan Sari},
journal= {arXiv preprint arXiv:1406.1032},
year = {2020}
}