We study the homogeneous structures of pseudo-Riemannian Lie groups of signature (2,2). This study allows us to classify the cyclic Lie groups of the mentioned signature. We also study the cyclic pseudo-Riemannian homogeneous 4-manifolds with non-trivial isotropy.
1
Institute of Advanced Studies, Payame Noor University, Tehran, Iran
2
Department of Mathematics, Payame Noor University, Tehran, Iran
Atefeh Tohidfar; Amirhesam Zaeim. On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four. Journal of Lie Theory, Tome 31 (2021) no. 1, pp. 169-187. http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a8/
@article{JOLT_2021_31_1_a8,
author = {Atefeh Tohidfar and Amirhesam Zaeim},
title = {On {Pseudo-Riemannian} {Cyclic} {Homogeneous} {Manifolds} of {Dimension} {Four}},
journal = {Journal of Lie Theory},
pages = {169--187},
year = {2021},
volume = {31},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a8/}
}
TY - JOUR
AU - Atefeh Tohidfar
AU - Amirhesam Zaeim
TI - On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four
JO - Journal of Lie Theory
PY - 2021
SP - 169
EP - 187
VL - 31
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a8/
ID - JOLT_2021_31_1_a8
ER -
%0 Journal Article
%A Atefeh Tohidfar
%A Amirhesam Zaeim
%T On Pseudo-Riemannian Cyclic Homogeneous Manifolds of Dimension Four
%J Journal of Lie Theory
%D 2021
%P 169-187
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a8/
%F JOLT_2021_31_1_a8
