A survey on Inverse mean curvature flow in ROSSes

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2017-12-20 DOI:10.1515/coma-2017-0016

Giuseppe Pipoli

引用次数: 1

Abstract

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.

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ross中逆平均曲率流的研究进展

摘要本文讨论了非紧化秩1对称空间中星形平均凸超曲面的逆平均曲率流演化。我们展示了所考虑的情况之间的相似性和差异性，特别注意环境流形的几何形状如何影响进化的行为。此外，在可能的情况下，我们尝试对文献中的结果给出统一的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.