About an integral inequality and rigidity of m-quasi-Einstein manifolds.
- Resource Type
- Article
- Authors
- Araújo, Murilo; Freitas, Allan; Santos, Márcio
- Source
- Letters in Mathematical Physics. Dec2023, Vol. 113 Issue 6, p1-9. 9p.
- Subject
- Language
- ISSN
- 0377-9017
In this short note, we apply a Reilly-type identity to obtain an integral inequality for the boundary of a bounded domain in a m - quasi-Einstein manifold. Furthermore, a rigidity characterization for the whole manifold is obtained in the equality case. Such a result extends a previous one obtained in the context of static manifolds and it is related to the stability of Wang–Yau Energy. [ABSTRACT FROM AUTHOR]