A survey on Inverse mean curvature flow in ROSSes

Giuseppe Pipoli

Complex Manifolds (2017)

  • Volume: 4, Issue: 1, page 245-262
  • ISSN: 2300-7443

Abstract

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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.

How to cite

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Giuseppe Pipoli. "A survey on Inverse mean curvature flow in ROSSes." Complex Manifolds 4.1 (2017): 245-262. <http://eudml.org/doc/288429>.

@article{GiuseppePipoli2017,
abstract = {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.},
author = {Giuseppe Pipoli},
journal = {Complex Manifolds},
keywords = {Inverse mean curvature flow; Sub-Riemannian geometry; Webster curvature; Qc curvature},
language = {eng},
number = {1},
pages = {245-262},
title = {A survey on Inverse mean curvature flow in ROSSes},
url = {http://eudml.org/doc/288429},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Giuseppe Pipoli
TI - A survey on Inverse mean curvature flow in ROSSes
JO - Complex Manifolds
PY - 2017
VL - 4
IS - 1
SP - 245
EP - 262
AB - 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.
LA - eng
KW - Inverse mean curvature flow; Sub-Riemannian geometry; Webster curvature; Qc curvature
UR - http://eudml.org/doc/288429
ER -

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