Four-Dimensional Pseudo-Riemannian Generalized Symmetric Spaces Which are Algebraic Ricci Solitons

被引：12

作者：

Batat, W. ^{[1
]}

Onda, K. ^{[2
]}

机构：

[1] Ecole Natl Polytech Oran, El Mnaouar 31000, Oran, Algeria

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 464860, Japan

来源：

RESULTS IN MATHEMATICS | 2013年 / 64卷 / 3-4期

关键词：

Pseudo-Riemannian metrics; generalized symmetric spaces; algebraic Ricci solitons; MANIFOLDS;

D O I：

10.1007/s00025-013-0312-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify, up to isometry, non-symmetric simply-connected four-dimensional pseudo-Riemannian generalized symmetric spaces which are algebraic Ricci solitons. It turns out that those of Cerny-Kowalski's types A, C and D are algebraic Ricci solitons, whereas those of type B are not. Thus, we give new examples of algebraic Ricci solitons.

引用

页码：253 / 267

页数：15

共 50 条

[1] Four-Dimensional Pseudo-Riemannian Generalized Symmetric Spaces Which are Algebraic Ricci Solitons
W. Batat
K. Onda
Results in Mathematics, 2013, 64 : 253 - 267
[2] Four-dimensional pseudo-Riemannian homogeneous Ricci solitons
Calvaruso, Giovanni
Fino, Anna
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2015, 12 (05)
[3] Homogeneous geodesics of four-dimensional generalized symmetric pseudo-Riemannian spaces
De Leo, Barbara
Marinosci, Rosa Anna
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 73 (3-4): : 341 - 360
[4] Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces
Bouharis, Amel
Djebbar, Bachir
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2018, 14 (02) : 132 - 140
[5] Examples of Algebraic Ricci Solitons in the Pseudo-Riemannian Case
K. Onda
Acta Mathematica Hungarica, 2014, 144 : 247 - 265
[6] Examples of Algebraic Ricci Solitons in the Pseudo-Riemannian Case
Onda, K.
ACTA MATHEMATICA HUNGARICA, 2014, 144 (01) : 247 - 265
[7] Four-dimensional naturally reductive pseudo-Riemannian spaces
Batat, W.
Castrillon Lopez, M.
Rosado Maria, E.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2015, 41 : 48 - 64
[8] Four-dimensional Naturally Reductive Pseudo-Riemannian Homogeneous Spaces
De Leo, Barbara
KYUNGPOOK MATHEMATICAL JOURNAL, 2012, 52 (01): : 1 - 11
[9] Closed pseudo-Riemannian Ricci solitons
Jamreh, Maryam
Nadjafikhah, Mehdi
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (10)
[10] Four-dimensional pseudo-Riemannian g.o. spaces and manifolds
Calvaruso, Giovanni
Zaeim, Amirhesam
JOURNAL OF GEOMETRY AND PHYSICS, 2018, 130 : 63 - 80

← 1 2 3 4 5 →