Classification of almost Yamabe solitons in Euclidean spaces

被引：22

作者：

Seko, Tatsuya ^{[1
]}

Maeta, Shun ^{[1
]}

机构：

[1] Shimane Univ, Dept Math, Nishikawatsu 1060, Matsue, Shimane 6908504, Japan

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 136卷

基金：

日本学术振兴会;

关键词：

Yamabe solitons; Almost Yamabe solitons; Yamabe flow; Ricci solitons; Concurrent vector fields; Hessian manifolds; RICCI SOLITONS; REAL HYPERSURFACES;

D O I：

10.1016/j.geomphys.2018.10.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we completely classify almost Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field. Some results of almost Yamabe solitons with a concurrent vector field and almost Yamabe solitons on submanifolds in Riemannian manifolds equipped with a concurrent vector field are also presented. Moreover, we classify complete Ricci solitons on minimal submanifolds in non-positively curved space forms. For almost Yamabe solitons, all of the results in this paper can be applied to Yamabe solitons. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：97 / 103

页数：7

共 50 条

[41] Almost η-Ricci and Almost η-Yamabe Solitons with Torse-Forming Potential Vector Field
Blaga, Adara M.
Ozgur, Cihan
QUAESTIONES MATHEMATICAE, 2022, 45 (01) : 143 - 163
[42] A Note on Yamabe Solitons and Gradient Yamabe Solitons
De, Krishnendu
Ghosh, Sujit
KYUNGPOOK MATHEMATICAL JOURNAL, 2022, 62 (01): : 179 - 191
[43] Classifications of quotion Yamabe solitons on Euclidean submanifolds with concurrent vector fields
Mofarreh, Fatemah
Ali, Akram
Bin Turki, Nasser
Ali, Rifaqat
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (07)
[44] Spaces with almost Euclidean Dehn function
Stefan Wenger
Mathematische Annalen, 2019, 373 : 1177 - 1210
[45] Spaces with almost Euclidean Dehn function
Wenger, Stefan
MATHEMATISCHE ANNALEN, 2019, 373 (3-4) : 1177 - 1210
[46] The k-Yamabe solitons and the quotient Yamabe solitons
Bo, Leyang
Ho, Pak Tung
Sheng, Weimin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 166 : 181 - 195
[47] h-Almost Ricci-Yamabe Solitons in Paracontact Geometry
De, Uday Chand
Khan, Mohammad Nazrul Islam
Sardar, Arpan
MATHEMATICS, 2022, 10 (18)
[48] Gradient almost Yamabe solitons immersed into a Riemannian warped product manifold
Tokura, Willian
Adriano, Levi
Batista, Elismar
Bezzera, Adriano
TURKISH JOURNAL OF MATHEMATICS, 2024, 48 (03) : 541 - 556
[49] ON A CLASSIFICATION OF WARPED PRODUCT MANIFOLDS WITH GRADIENT YAMABE SOLITONS
Choi, Jin Hyuk
Kim, Byung Hak
Lee, Sang Deok
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (01): : 261 - 268
[50] Almost Yamabe solitons satisfying certain conditions on the associated vector field
Poddar, Rahul
Sharma, Ramesh
Balasubramanian, S.
QUAESTIONES MATHEMATICAE, 2024, 47 (08) : 1723 - 1731

← 1 2 3 4 5 →