Three-dimensional conformally flat homogeneous Lorentzian manifolds

被引：8

作者：

Honda, Kyoko

Tsukada, Kazumi

机构：

[1] Ochanomizu Univ, Grad Sch Humanities & Sci, Bunkyo Ku, Tokyo 1128610, Japan

[2] Ochanomizu Univ, Dept Math, Bunkyo Ku, Tokyo 1128610, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 04期

关键词：

D O I：

10.1088/1751-8113/40/4/017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We classify three-dimensional conformally flat homogeneous Lorentzian manifolds. Our classification depends on the form of the Ricci operators.

引用

页码：831 / 851

页数：21

共 50 条

[41] THREE-DIMENSIONAL LORENTZIAN PARA-KENMOTSU MANIFOLDS AND YAMABE SOLITONS
Pankaj
Chaubey, Sudhakar K.
Prasad, Rajendra
[J]. HONAM MATHEMATICAL JOURNAL, 2021, 43 (04): : 613 - 626
[42] CONFORMALLY FLAT MANIFOLDS
KULKARNI, RS
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1972, 69 (09) : 2675 - &
[43] The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds
Frances, Charles
Melnick, Karin
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 2023 (803): : 183 - 218
[44] Spinorial characterizations of surfaces into three-dimensional homogeneous manifolds
Roth, Julien
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (6-8) : 1045 - 1061
[45] Conformally flat Lorentzian hypersurfaces in ℝ14 with three distinct principal curvatures
Xiaozhen Wang
Changping Wang
Zhenxiao Xie
[J]. Science China Mathematics, 2018, 61 : 897 - 916
[46] On ξ-Conformally and ξ-Pseudo Projectively Flat Lorentzian Sasakian Manifolds with Tanaka-Webster Connection
Erdogan, Mehmet
Alo, Jeta
[J]. THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 13 - 19
[47] CONFORMALLY FLAT HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS
Calvaruso, Giovanni
Zaeim, Amirhesam
[J]. TOHOKU MATHEMATICAL JOURNAL, 2014, 66 (01) : 31 - 54
[48] Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds
Honda, Atsufumi
Saji, Kentaro
Teramoto, Keisuke
[J]. ADVANCES IN MATHEMATICS, 2020, 365
[49] Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues
Kowalski, Oldrich
Sekizawa, Masami
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2016, 99 : 232 - 238
[50] ON THE DECOMPOSITION OF CONFORMALLY FLAT MANIFOLDS
IZEKI, H
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1993, 45 (01) : 105 - 119

← 1 2 3 4 5 →