Some remarks on closed $$\rho $$-Einstein solitons

Abstract This work shows that, under natural conditions, every closed soliton of the Ricci–Bourguignon flow has constant scalar curvature. In addition, we present alternative proofs of certain results on triviality.

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Journal
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Published
2026-10-14
DOI
https://doi.org/10.1007/s13366-026-00872-8
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Some remarks on closed $$\rho $$-Einstein solitons

Wagner Oliveira Costa‐Filho
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Geometric Analysis and Curvature Flows
article

Some remarks on closed $$\rho $$-Einstein solitons

Wagner Oliveira Costa‐Filho
article en

Abstract

Abstract This work shows that, under natural conditions, every closed soliton of the Ricci–Bourguignon flow has constant scalar curvature. In addition, we present alternative proofs of certain results on triviality.

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Universidade Federal de Alagoas (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 7%
Geometric Analysis and Curvature Flows
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