On a type of almost Kenmotsu manifolds with nullity distributions

Autor: U.C. De, Krishanu Mandal
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Arab Journal of Mathematical Sciences, Vol 23, Iss 2, Pp 109-123 (2017)
Druh dokumentu: article
ISSN: 1319-5166
DOI: 10.1016/j.ajmsc.2016.04.001
Popis: The object of the present paper is to characterize Weyl semisymmetric almost Kenmotsu manifolds with its characteristic vector field ξ belonging to the (k,μ)′-nullity distribution and (k,μ)-nullity distribution respectively. Also we characterize almost Kenmotsu manifolds satisfying the curvature condition C⋅S=0, where C and S are the Weyl conformal curvature tensor and Ricci tensor respectively with its characteristic vector field ξ belonging to the (k,μ)′-nullity distribution. As a consequence of the main results we obtain several corollaries. Finally, we present an example to verify our results.
Databáze: Directory of Open Access Journals