具非负Ricci曲率和严格(1+δ)阶体积增长的三维流形

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	具非负Ricci曲率和严格(1+δ)阶体积增长的三维流形
	詹华税 ; 许文彬
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxzz200901019&dbcode=CJFQ&dbname=CJFQ2009
	2012-06-05 ; 2012-06-05
关键词	三维流形非负Ricci曲率 (1+δ)阶体积增长微分同胚 Three-dimensional manifold nonnegative Ricci curvature (1+δ)-order volume growth diffeomorphism O186.12
其他题名	ON COMPLETE THREE-DIMENSIONAL MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE
中文摘要	本文研究了三维完备非紧具非负Ricci曲率的黎曼流形的几何拓扑性质.通过对流形本身与流形的万有覆盖空间体积增长阶的比较,证明了对具非负Ricci曲率和严格(1+δ)阶体积增长的三维完备非紧的黎曼流形是可缩的.; The paper studies the geometric and topological properties of a complete noncompact Riemannian three-dimensional manifold with nonegative Ricct curvature. By comparing the volume growth order of the manifold itself to that of its universal covering space, the paper proves that every three-dimensional with nonnegative Ricci curvature and (1+δ)-order volume growth in strict sense must be contractible provided that its universal covering is finite.; 【作者单位】集美大学理学院；【作者英文名】ZHAN Hua-shui(School of Science, Jimei University, Xiamen 361021, China)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/16001]
专题	集美大学
推荐引用方式 GB/T 7714	詹华税,许文彬. 具非负Ricci曲率和严格(1+δ)阶体积增长的三维流形[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxzz200901019&dbcode=CJFQ&dbname=CJFQ2009,2012, 2012.
APA	詹华税,&许文彬.(2012).具非负Ricci曲率和严格(1+δ)阶体积增长的三维流形.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxzz200901019&dbcode=CJFQ&dbname=CJFQ2009.
MLA	詹华税,et al."具非负Ricci曲率和严格(1+δ)阶体积增长的三维流形".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=sxzz200901019&dbcode=CJFQ&dbname=CJFQ2009 (2012).