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

Flat Affine Maximal Surfaces in R-4

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Date:2019-03-09

Indexed by:Journal Article

Date of Publication:2009-11-01

Journal:RESULTS IN MATHEMATICS

Included Journals:Scopus、SCIE

Volume:55

Issue:3-4

Page Number:389-400

ISSN:1422-6383

Key Words:Equiaffine normal bundle; affine mean curvature; maximal surface

Abstract:In this paper, we study affine maximal surfaces M-2 in R-4 with flat induced connection. We prove that M-2 is locally affinely equivalent to a surface with constant equiaffine normal plane if it is definite. We also give a complete classification for M-2 to be indefinite and with flat affine metric.