Compact gradient Einstein-type manifolds with boundary

Autor:	Freitas, Allan George de Carvalho, Gomes, José Nazareno Vieira
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Primary 53C25 Secondary 53C24
Druh dokumentu:	Working Paper
Popis:	We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundaries. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area. Comment: In this version, we include new proofs of Theorems 1 and 2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.07827 Zobrazit plný text záznamu View this record from Arxiv