Pseudo-Riemannian weakly symmetric manifolds of low dimension

Zhang, Bo, Chen, Zhiqi, and Deng, Shaoqiang. "Pseudo-Riemannian weakly symmetric manifolds of low dimension." Czechoslovak Mathematical Journal 69.3 (2019): 811-835. <http://eudml.org/doc/294735>.

@article{Zhang2019,
abstract = {We give a classification of pseudo-Riemannian weakly symmetric manifolds in dimensions $2$ and $3$, based on the algebraic approach of such spaces through the notion of a pseudo-Riemannian weakly symmetric Lie algebra. We also study the general symmetry of reductive $3$-dimensional pseudo-Riemannian weakly symmetric spaces and particularly prove that a $3$-dimensional reductive $2$-fold symmetric pseudo-Riemannian manifold must be globally symmetric.},
author = {Zhang, Bo, Chen, Zhiqi, Deng, Shaoqiang},
journal = {Czechoslovak Mathematical Journal},
keywords = {pseudo-Riemannian manifold; pseudo-Riemannian weakly symmetric manifold; pseudo-Riemannian weakly symmetric Lie algebra; Lorentzian weakly symmetric manifold},
language = {eng},
number = {3},
pages = {811-835},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pseudo-Riemannian weakly symmetric manifolds of low dimension},
url = {http://eudml.org/doc/294735},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Zhang, Bo
AU - Chen, Zhiqi
AU - Deng, Shaoqiang
TI - Pseudo-Riemannian weakly symmetric manifolds of low dimension
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 3
SP - 811
EP - 835
AB - We give a classification of pseudo-Riemannian weakly symmetric manifolds in dimensions $2$ and $3$, based on the algebraic approach of such spaces through the notion of a pseudo-Riemannian weakly symmetric Lie algebra. We also study the general symmetry of reductive $3$-dimensional pseudo-Riemannian weakly symmetric spaces and particularly prove that a $3$-dimensional reductive $2$-fold symmetric pseudo-Riemannian manifold must be globally symmetric.
LA - eng
KW - pseudo-Riemannian manifold; pseudo-Riemannian weakly symmetric manifold; pseudo-Riemannian weakly symmetric Lie algebra; Lorentzian weakly symmetric manifold
UR - http://eudml.org/doc/294735
ER -