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一般伪黎曼空间中的极大类空子流形
  • ISSN号：1000-5471
  • 期刊名称：《西南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O186.13[理学—数学;理学—基础数学]
  • 作者机构：[1]红河学院数学学院,云南蒙自661100
  • 相关基金：国家自然科学基金（11161020）;云南省教育厅科研基金（2012C199）;红河学院科研基金一般项目（IOXJY121）.
作者： 杨慧章[1], 龙瑶[1], 李薇[1]
关键词： 伪黎曼流形, 拉普拉斯算子, RICCI张量, Pseudo-Riemannian manifold, Laplacian, Ricci tensor
中文摘要：

通过计算Ricci张量长度平方的拉普拉斯算子,得到了伪黎曼流形上的一个Simons型积分不等式,运用该不等式推广了已有的相关结果.

英文摘要：

By calculating the Laplacian of the square of the length of Ricci tensor, a new Simons＇ integral inequality in the Pseudo-Riemannian manifold has been obtained and some related results generalized.

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期刊信息
  • 《西南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:西南大学
  • 主编：李明
  • 地址：重庆市北碚区天生路2号
  • 邮编：400715
  • 邮箱：xhtang@swu.cn
  • 电话：023-68252540
  • 国际标准刊号：ISSN：1000-5471
  • 国内统一刊号：ISSN：50-1045/N
  • 邮发代号:78-22
  • 获奖情况:
  • 全国高校优秀学报,重庆市十佳科技期刊,重庆市一级期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,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:17791