ON EINSTEIN (α,β)-METRICS

被引：0

作者：

Rezaei, B. ^{[1
]}

Razavi, A. ^{[1
]}

Sadeghzadeh, N. ^{[1
]}

机构：

[1] Amir Kabir Univ, Dept Math & Comp Sci, Tehran, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2007年 / 31卷 / A4期

关键词：

Einstein Finsler metrics; (alpha; beta)-metrics; Schur lemma;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we consider some (alpha,beta) -metrics such as generalized Kropina, Matsumoto and F=(alpha+beta)(2)/alpha metrics, and obtain necessary and sufficient conditions for them to be Einstein metrics when beta is a constant Killing form. Then we prove with this assumption that the mentioned Einstein metrics must be Riemannian or Ricci flat.

引用

页码：403 / 412

页数：10

共 50 条

[41] The Einstein metrics with smooth scri
J. Tafel
General Relativity and Gravitation, 2022, 54
[42] SINGULARITY OF HOMOGENEOUS EINSTEIN METRICS
PERESETSKII, AA
MATHEMATICAL NOTES, 1977, 21 (1-2) : 39 - 45
[43] Einstein deformations of hyperbolic metrics
Biquard, O
JOURNAL OF DIFFERENTIAL GEOMETRY, 1999, : 235 - 246
[44] Homogeneous Einstein metrics and butterflies
Boehm, Christoph
Kerr, Megan M.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 63 (04)
[45] Asymptotically symmetric Einstein metrics
Biquard, O
ASTERISQUE, 2000, (265) : 1 - +
[46] EINSTEIN METRICS AND MAGNETIC MONOPOLES
Hitchin, Nigel
ASTERISQUE, 2008, (321) : 5 - 29
[47] QUASI-EINSTEIN METRICS
GUAN, DZD
INTERNATIONAL JOURNAL OF MATHEMATICS, 1995, 6 (03) : 371 - 379
[48] A class of conformally Einstein metrics
Kapadia, D
Sparling, G
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (22) : 4765 - 4776
[49] The Einstein metrics with smooth scri
Tafel, J.
GENERAL RELATIVITY AND GRAVITATION, 2022, 54 (09)
[50] Einstein metrics in projective geometry
A. Čap
A. R. Gover
H. R. Macbeth
Geometriae Dedicata, 2014, 168 : 235 - 244

← 1 2 3 4 5 →