The Critical Point Equation on Kenmotsu and almost Kenmotsu manifolds

Autor:	Patra, Dhriti Sundar, Ghosh, Amalendu, Bhattacharyya, Arindam
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry 53D15 53C25 53C21
Druh dokumentu:	Working Paper
Popis:	In this paper, we have studied the critical point equation (shortly, CPE) within the frame-work of Kenmotsu and almost Kenmotsu manifold satisfying certain nullity conditions. First, we prove that a complete Kenmotsu metric satisfies the CPE is Einstein and locally isometric to the hyperbolic space H2n+1. In case of Kenmotsu manifolds, it is possible to determine the potential function explicitly (locally). We also provide some examples of Kenmotsu and almost Kenmotsu manifolds that satisfies the CPE. Comment: arXiv admin note: text overlap with arXiv:1701.04996
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.03422 Zobrazit plný text záznamu View this record from Arxiv