Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions

Yaning Wang, and Ximin Liu. "Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions." Annales Polonici Mathematici 112.1 (2014): 37-46. <http://eudml.org/doc/281045>.

@article{YaningWang2014,
abstract = {We consider an almost Kenmotsu manifold $M^\{2n+1\}$ with the characteristic vector field ξ belonging to the (k,μ)’-nullity distribution and h’ ≠ 0 and we prove that $M^\{2n+1\}$ is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that $M^\{2n+1\}$ is ξ-Riemannian-semisymmetric. Moreover, if $M^\{2n+1\}$ is a ξ-Riemannian-semisymmetric almost Kenmotsu manifold such that ξ belongs to the (k,μ)-nullity distribution, we prove that $M^\{2n+1\}$ is of constant sectional curvature -1.},
author = {Yaning Wang, Ximin Liu},
journal = {Annales Polonici Mathematici},
keywords = {almost Kenmotsu manifold; -Riemannian-semisymmetry; nullity distribution},
language = {eng},
number = {1},
pages = {37-46},
title = {Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions},
url = {http://eudml.org/doc/281045},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Yaning Wang
AU - Ximin Liu
TI - Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 1
SP - 37
EP - 46
AB - We consider an almost Kenmotsu manifold $M^{2n+1}$ with the characteristic vector field ξ belonging to the (k,μ)’-nullity distribution and h’ ≠ 0 and we prove that $M^{2n+1}$ is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that $M^{2n+1}$ is ξ-Riemannian-semisymmetric. Moreover, if $M^{2n+1}$ is a ξ-Riemannian-semisymmetric almost Kenmotsu manifold such that ξ belongs to the (k,μ)-nullity distribution, we prove that $M^{2n+1}$ is of constant sectional curvature -1.
LA - eng
KW - almost Kenmotsu manifold; -Riemannian-semisymmetry; nullity distribution
UR - http://eudml.org/doc/281045
ER -