Revisiting gradient conformal solitons

被引：0

作者：

Cunha, Antonio W. ^{[1
]}

de Lima, Eudes L. ^{[2
]}

de Lima, Henrique F. ^{[3
]}

Maeta, Shun ^{[4
]}

机构：

[1] Univ Fed Piaui, Dept Posgrad Matemat, BR-64049550 Teresina, Piaui, Brazil

[2] Univ Fed Campina Grande, Unidade Academ Ciencias Exatas & Nat, BR-58900000 Cajazeiras, Paraiba, Brazil

[3] Univ Fed Campina Grande, Dept Matemat, BR-58109970 Campina Grande, Paraiba, Brazil

[4] Chiba Univ, Fac Educ, Dept Math, 1-33 Yayoicho, Chiba, Chiba 2638522, Japan

来源：

ADVANCES IN GEOMETRY | 2024年 / 24卷 / 03期

基金：

日本学术振兴会;

关键词：

Gradient conformal soliton; characterization and triviality results; generalized maximum principle; RIEMANNIAN-MANIFOLDS; MAXIMUM PRINCIPLE; YAMABE;

D O I：

10.1515/advgeom-2024-0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we deal with complete and stochastically complete gradient conformal solitons, which correspond to natural extensions of gradient Yamabe solitons, gradient k-Yamabe solitons, almost gradient Yamabe solitons and h-almost gradient Yamabe solitons. Under mild hypotheses on the potential function, we obtain new characterization and triviality results via applications of suitable generalized maximum principles.

引用

页码：323 / 328

页数：6

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