(m,ρ)-quasi-Einstein metrics on(κ,μ)-almost coK ahler manifolds

被引：0

作者：

Biswasi, Urmila ^{[1
]}

Falcitelliii, Maria ^{[2
]}

Sarkar, Avijit ^{[1
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, West Bengal, India

[2] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

来源：

NOTE DI MATEMATICA | 2024年 / 44卷 / 01期

关键词：

(m; rho)-quasi-Einstein metric; rho-Einstein soliton; gradient rho-Einstein metric; gra-dient; (kappa; mu)-almost coK ahler manifold; Lie group; CLASSIFICATION;

D O I：

10.1285/i15900932v44n1p85

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, a criterion for non-existence of closed (m,rho)-quasi-Einstein metricson (kappa,mu)-almost coK ahler manifolds is established. A similar result is stated for gradient (m,rho)-quasi-Einstein metrics on three-dimensional (kappa,mu)-almost coK ahler manifolds.

引用

页码：85 / 98

页数：14

共 50 条

[1] Quasi-Einstein structures and almost cosymplectic manifolds
Chen, Xiaomin
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
[2] Quasi-Einstein structures and almost cosymplectic manifolds
Xiaomin Chen
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[3] Almost co-Kahler manifolds and (m, ρ)-quasi-Einstein solitons
De, Krishnendu
Khan, Mohammad Nazrul Islam
De, Uday Chand
CHAOS SOLITONS & FRACTALS, 2023, 167
[4] (m, ρ)-Quasi-Einstein Metrics in the Frame-Work of K -Contact Manifolds
Ghosh, Amalendu
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2014, 17 (3-4) : 369 - 376
[5] QUASI-EINSTEIN METRICS
GUAN, DZD
INTERNATIONAL JOURNAL OF MATHEMATICS, 1995, 6 (03) : 371 - 379
[6] (m, ρ)-Quasi-Einstein Metrics in the Frame-Work of K-Contact Manifolds
Amalendu Ghosh
Mathematical Physics, Analysis and Geometry, 2014, 17 : 369 - 376
[7] On pseudo quasi-Einstein manifolds
Shaikh, Absos Ali
PERIODICA MATHEMATICA HUNGARICA, 2009, 59 (02) : 119 - 146
[8] On generalized quasi-Einstein manifolds
Mirshafeazadeh, Mir Ahmad
Bidabad, Behroz
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2019, 10 (03) : 193 - 202
[9] THE NONEXISTENCE OF QUASI-EINSTEIN METRICS
Case, Jeffrey S.
PACIFIC JOURNAL OF MATHEMATICS, 2010, 248 (02) : 277 - 284
[10] Rigidity of quasi-Einstein metrics
Case, Jeffrey
Shu, Yu-Jen
Wei, Guofang
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2011, 29 (01) : 93 - 100

← 1 2 3 4 5 →