A survey on Inverse mean curvature flow in ROSSes

In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces. We show similarities and differences between the case considered, with particular attention to how the geometry of the ambient manifolds influence...

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Autor principal: Pipoli Giuseppe
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2017
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Acceso en línea:https://doaj.org/article/cbba5910ff6840ada1efe1ad103a91e5
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Sumario:In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces. We show similarities and differences between the case considered, with particular attention to how the geometry of the ambient manifolds influences the behaviour of the evolution. Moreover we try, when possible, to give an unified approach to the results present in literature.