Open AccessOn almost Kenmotsu manifolds with nullity distributions
Author(s) -
Uday Chand De,
Jae Bok Jun,
Kaushik Mandal
Publication year - 2017
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.48.2017.2272
Subject(s) - mathematics , curvature , distribution (mathematics) , riemann curvature tensor , pure mathematics , vector field , field (mathematics) , tensor (intrinsic definition) , mathematical analysis , geometry
The object of this paper is to characterize the curvature conditions $R\cdot P=0$ and $P\cdot S=0$ with its characteristic vector field $\xi$ belonging to the $(k,\mu)'$-nullity distribution and $(k,\mu)$-nullity distribution respectively, where $P$ is the Weyl projective curvature tensor. As a consequence of the main results we obtain several corollaries.