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拟调和球的不存在性
  • ISSN号：1000-8314
  • 期刊名称：数学年刊A辑(中文版)
  • 时间：2010.5.5
  • 页码：419-426
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江大学数学系,杭州310027, [2]浙江教育学院数学系,杭州310012
  • 相关基金：国家自然科学基金（No.10701064 No.10931001）; 浙江省自然科学基金（No.Y606117）; 浙江省教育厅（No.Y201018469）资助的项目.
  • 相关项目：调和分析及其应用
作者： 阮建苗|王梦|
关键词： 拟调和球, 多项式增长, Quasi-harmonic sphere, Polynomial growth
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R~3到N的非平凡拟调和球.于是在dim M=3时推广了Eells-Sampson的定理.

英文摘要：

It is proved that if the universal covering of N admits a nonnegative strictly convex function with polynomial growth,then there are no nontrivial quasi-harmonic spheres from R~3 to N.The authors also generalize the famous Eells-Sampson＇s theorem when dim M=3.

同期刊论文项目
调和分析及其应用
期刊论文 120 著作 2
关于拟调和球的若干问题
期刊论文 23 会议论文 3
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264