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...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Pipoli Giuseppe
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2017
Materias:	inverse mean curvature flow sub-riemannian geometry webster curvature qc curvature 53c17 53c40 53c44 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/cbba5910ff6840ada1efe1ad103a91e5
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:cbba5910ff6840ada1efe1ad103a91e5
record_format	dspace
spelling	oai:doaj.org-article:cbba5910ff6840ada1efe1ad103a91e52021-12-02T19:07:56ZA survey on Inverse mean curvature flow in ROSSes2300-744310.1515/coma-2017-0016https://doaj.org/article/cbba5910ff6840ada1efe1ad103a91e52017-12-01T00:00:00Zhttps://doi.org/10.1515/coma-2017-0016https://doaj.org/toc/2300-7443In 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.Pipoli GiuseppeDe Gruyterarticleinverse mean curvature flowsub-riemannian geometrywebster curvatureqc curvature53c1753c4053c44MathematicsQA1-939ENComplex Manifolds, Vol 4, Iss 1, Pp 245-262 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	inverse mean curvature flow sub-riemannian geometry webster curvature qc curvature 53c17 53c40 53c44 Mathematics QA1-939
spellingShingle	inverse mean curvature flow sub-riemannian geometry webster curvature qc curvature 53c17 53c40 53c44 Mathematics QA1-939 Pipoli Giuseppe A survey on Inverse mean curvature flow in ROSSes
description	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.
format	article
author	Pipoli Giuseppe
author_facet	Pipoli Giuseppe
author_sort	Pipoli Giuseppe
title	A survey on Inverse mean curvature flow in ROSSes
title_short	A survey on Inverse mean curvature flow in ROSSes
title_full	A survey on Inverse mean curvature flow in ROSSes
title_fullStr	A survey on Inverse mean curvature flow in ROSSes
title_full_unstemmed	A survey on Inverse mean curvature flow in ROSSes
title_sort	survey on inverse mean curvature flow in rosses
publisher	De Gruyter
publishDate	2017
url	https://doaj.org/article/cbba5910ff6840ada1efe1ad103a91e5
work_keys_str_mv	AT pipoligiuseppe asurveyoninversemeancurvatureflowinrosses AT pipoligiuseppe surveyoninversemeancurvatureflowinrosses
_version_	1718377175977033728

A survey on Inverse mean curvature flow in ROSSes

Ejemplares similares