Hou, Zhong Hua

Professor   Supervisor of Doctorate Candidates   Supervisor of Master's Candidates

Gender:Male

Alma Mater:日本东京工业大学

Degree:Doctoral Degree

School/Department:数学科学学院

Discipline:Pure Mathematics

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Paper Publications

A characterization of affine spheres in R (4)

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Date:2019-03-09

Indexed by:Journal Article

Date of Publication:2011-04-01

Journal:ACTA MATHEMATICA HUNGARICA

Included Journals:SCIE、Scopus

Volume:131

Issue:1-2

Page Number:160-173

ISSN:0236-5294

Key Words:equiaffine normal bundle; affine sphere; affine mean curvature vector

Abstract:A surface immersed in R (4) is called a proper affine sphere if the position vector belongs to the affine normal plane. We classify proper affine spheres with a double dagger(aSyen) g (aSyen)=0 whose affine mean curvature vector has constant length. Moreover, we find some concrete examples of affine spheres which are not affine umbilical.