SOME CURVATURE CHARACTERIZATIONS ON KENMOTSU METRIC SPACES
Özet
The purpose of this study is to characterize Kenmotsu manifolds that satisfy specific curvature conditions. We give the Kenmotsu manifold curvature tensors satisfying the conditions R · W5 = 0, R · W7 = 0, R · W9 = 0 and R · W0? = 0. Also, we consider the Kenmotsu metric manifold a W0? ? flat and a ?-W0? ?flat. As a result, M is an ?-Einstein Kenmotsu metric manifold. © 2022, Canadian University of Dubai. All rights reserved.
Cilt
13Sayı
2Koleksiyonlar
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
Sub-Manifolds of a Riemannian Manifold
Atceken, Mehmet; Yildirim, Umit; Dirik, Suleyman (INTECH EUROPE, 2017)In this chapter, we introduce the theory of sub-manifolds of a Riemannian manifold. The fundamental notations are given. The theory of sub-manifolds of an almost Riemannian product manifold is one of the most interesting ... -
Generalized Kenmotsu Manifolds
Vanli, Aysel Turgut; Sari, Ramazan (RGN PUBL, 2016)In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds which later are called a Kenmotsu manifold. In this paper, we study Kenmotsu manifolds with (2n + s)-dimensional s-contact metric manifold that ... -
On Kenmotsu Metric Spaces Satisfying Some Conditions on the W1- Curvature Tensor
Uygun, Pakize; Atceken, Mehmet; Dirik, Suleyman (Univ Nis, Fac Sci Math, 2022)In this paper we present the curvature tensors of Kenmotsu manifold satisfying the conditions W-1(X, Y) center dot W-0 = 0, W-1(X, Y) center dot W-1 = 0, W-1(X, Y) center dot W-2 = 0, W1(X, Y) center dot W-3 = 0, W-1(X, ...