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阮建苗,王梦.拟调和球的不存在性[J].数学年刊A辑,2010,31(4):419~426
拟调和球的不存在性
Non-existence of Quasi-harmonic Spheres
DOI:
中文关键词
:
拟调和球
多项式增长
英文关键词
:
基金项目
:
国家自然科学基金,浙江省自然科学基金,浙江省教育厅(No.Y201018469)资助的项目
Author Name
Affiliation
E-mail
RUAN Jianmiao
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Department of Mathematics, Zhejiang Education Institute, Hangzhou 310012, China.
rjmath@163.com
WANG Meng
Department of Mathematics, Zhejiang University, Hangzhou 310027, China.
mathdreamcn@zju.edu.cn
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中文摘要
:
证明了当N的万有覆盖上存在一个多项式增长的非负严格凸函数时,不存在从R3到N的非平凡拟调和球.于是在dim M=3时推广了Fells-Sampson的定理.
英文摘要
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