Three-dimensional locally symmetric almost Kenmotsu manifolds

Yaning Wang

Annales Polonici Mathematici (2016)

  • Volume: 116, Issue: 1, page 79-86
  • ISSN: 0066-2216

Abstract

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We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.

How to cite

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Yaning Wang. "Three-dimensional locally symmetric almost Kenmotsu manifolds." Annales Polonici Mathematici 116.1 (2016): 79-86. <http://eudml.org/doc/280153>.

@article{YaningWang2016,
abstract = {We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.},
author = {Yaning Wang},
journal = {Annales Polonici Mathematici},
keywords = {local symmetry; 3-dimensional almost Kenmotsu manifold; hyperbolic space; Riemannian product},
language = {eng},
number = {1},
pages = {79-86},
title = {Three-dimensional locally symmetric almost Kenmotsu manifolds},
url = {http://eudml.org/doc/280153},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Yaning Wang
TI - Three-dimensional locally symmetric almost Kenmotsu manifolds
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 1
SP - 79
EP - 86
AB - We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.
LA - eng
KW - local symmetry; 3-dimensional almost Kenmotsu manifold; hyperbolic space; Riemannian product
UR - http://eudml.org/doc/280153
ER -

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