Notes on m-quasi Yamabe gradient solitons

被引：0

作者：

Poddar, Rahul ^{[1
]}

Sharma, Ramesh ^{[2
]}

Subramanian, Balasubramanian ^{[1
]}

机构：

[1] Prasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, India

[2] Univ New Haven, West Haven, CT 06516 USA

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2024年 / 134卷 / 01期

关键词：

m-Quasi Yamabe gradient soliton; Yamabe flow; constant scalar curvature; Ricci tensor; CLASSIFICATION;

D O I：

10.1007/s12044-024-00775-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a divergence formula for an m-quasi Yamabe gradient soliton with finite m, and use it to give a short proof of the result "A compact m-quasi Yamabe gradient soliton (M-n,g), n >= 3, with finite m, has constant scalar curvature". We also show that an m-quasi Yamabe gradient soliton with finite m and positive scalar curvature, whose soliton vector field leaves the Ricci tensor invariant, is shrinking and has constant scalar curvature.

引用

页数：5

共 50 条

[1] Notes on m-quasi Yamabe gradient solitons
Rahul Poddar
Ramesh Sharma
Balasubramanian Subramanian
[J]. Proceedings - Mathematical Sciences, 134
[2] Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds
Uday Chand De
Sudhakar K. Chaubey
Young Jin Suh
[J]. Mediterranean Journal of Mathematics, 2021, 18
[3] A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons
Ghosh, Sujit
De, Uday Chand
Yildiz, Ahmet
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (03): : 770 - 777
[4] Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds
De, Uday Chand
Chaubey, Sudhakar K.
Suh, Young Jin
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (03)
[5] On noncompact quasi Yamabe gradient solitons
Wang, Lin Feng
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (03) : 337 - 348
[6] Generalized quasi Yamabe gradient solitons
Neto, Benedito Leandro
de Oliveira, Hudson Pina
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2016, 49 : 167 - 175
[7] ON A CLASSIFICATION OF THE QUASI YAMABE GRADIENT SOLITONS
Huang, Guangyue
Li, Haizhong
[J]. METHODS AND APPLICATIONS OF ANALYSIS, 2014, 21 (03) : 379 - 390
[8] Almost quasi-Yamabe solitons and gradient almost quasi-yamabe solitons in paracontact geometry
De, Krishnendu
De, Uday Chand
[J]. QUAESTIONES MATHEMATICAE, 2021, 44 (11) : 1429 - 1440
[9] A Note on Yamabe Solitons and Gradient Yamabe Solitons
De, Krishnendu
Ghosh, Sujit
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2022, 62 (01): : 179 - 191
[10] Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in f-kenmotsu manifolds
Ghosh, Sujit
De, Uday Chand
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (11)

← 1 2 3 4 5 →