Conformal geometry of complete quasi Yamabe gradient solitons

被引：0

作者：

da Silva Filho, Joao Francisco ^{[1
]}

Fernandes, Larissa Braga ^{[2
]}

机构：

[1] Univ Integracao Int Lusofonia Afro Brasileira UNIL, Inst Ciencias Exatas & Nat ICEN, Campus Auroras,Rua Jose Franco de Oliveira, BR-62790970 Redencao, CE, Brazil

[2] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto FFC, Programa Pos Grad Matemat, Ribeirao Preto, SP, Brazil

来源：

ARCHIV DER MATHEMATIK | 2024年 / 123卷 / 02期

关键词：

Quasi Yamabe gradient soliton; Conformal geometry; Constant scalar curvature; RIEMANNIAN-MANIFOLDS; CLASSIFICATION;

D O I：

10.1007/s00013-024-02016-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to study the conformal geometry of complete quasi Yamabe gradient solitons, which correspond to an interesting generalization for gradient Yamabe solitons. In this sense, we present a rigidity result for complete quasi Yamabe gradient solitons with constant scalar curvature. Moreover, we prove that quasi Yamabe gradient solitons can be conformally changed to constant scalar curvature.

引用

页码：211 / 224

页数：14

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