On Scalar Curvature of r-Almost Newton-Ricci Solitons

被引：1
|
作者：
Cunha, Antonio W. [1 ]
机构：
[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, PI, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2023年 / 54卷 / 01期
关键词：
Einstein manifolds; Form space; r-Newton-Ricci solitons; Scalar curvature; COMPACT; METRICS;
D O I：
10.1007/s00574-022-00326-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this work is to study the scalar curvature of an r-almost-Newton-Ricci soliton immersed in a Riemannian manifold introduced by Cunha et al. in (J Math Anal Appl 464(I), 546-556, 2018). We study the compact case and obtain an integral formula and some triviality results. Also, we obtain a type Schur inequality. Finally we approach the complete case and obtain constant scalar curvature by assuming some integral conditions on the potential function.
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页数：12
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