Year: 2014
Type: preprint
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 $(2n+s)$-dimensional $s-$contact metric manifold and this manifold, we have called generalized Kenmotsu manifolds. Necessary and sufficient condition is given for an almost $s-$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 $φ$% -sectional curvature of any semi-symmetric and projective semi-symmetric $% (2n+s)$-dimensional generalized Kenmotsu manifold is $-s$.
Source: arXiv (Cornell University)
Authors: Vanli, Aysel Turgut, Sari, Ramazan
Institutions: Gazi University, Amasya Üniversitesi
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1855199760