A survey on Inverse mean curvature flow in ROSSes

• Autorzy: Giuseppe Pipoli
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Inverse mean curvature flow; Sub-Riemannian geometry; Webster curvature; Qc curvature

Kategorie tematyczne

• 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
• 53C17: Sub-Riemannian geometry
• 53C40: Global submanifolds

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 245-262

Daty

wydano

2017-12-20

otrzymano

2017-10-15

zaakceptowano

2017-12-21

online

2017-12-29

Twórcy

autor

Giuseppe Pipoli

• ,

Identyfikatory

DOI

10.1515/coma-2017-0016