检索结果-南通市图书馆

Rotationally symmetric pseudo-Khler metrics of constant scalar curvatures

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2011年第5期54卷 925-938页

作者： DUAN XiaoJuan ZHOU Jian Department of Mathematical Sciences Tsinghua University Beijing 100084 China

We study the ordinary differential equations related to rotationally symmetric pseudo-Khler metricsof constant scalar curvatures. We present various solutions on various holomorphic line bundles over projectivespace... 详细信息

关键词： pseudo-Kahler metrics rotationally symmetric constant scalar curvature phase change

A complete classification of Blaschke parallel submanifolds with vanishing Mbius form

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2017年第7期60卷 1281-1310页

作者： LI XingXiao SONG HongRu College of Mathematics and Information Science Henan Normal University Xinxiang 453007 China

The Blaschke tensor and the Mbius form are two of the fundamental invariants in the Mobius geometry of submanifolds;an umbilic-free immersed submanifold in real space forms is called Blaschke parallel if its Blaschke tensor is *** prove a theorem which,together with the known classification result for Mobius isotropic submanifolds,successfully establishes a complete classification of the Blaschke parallel submanifolds in S^n with vanishing Mobius *** doing so,a broad class of new examples of general codimensions is explicitly constructed.

关键词： parallel Blaschke tensor vanishing Mobius form constant scalar curvature parallel mean curvature vector

On Submanifolds of the Unit Sphere with Vanishing Mobius Form and Parallel Para-Blaschke Tensor

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2022年第2期38卷 347-370页

作者： Hong Ru SONG Xi Min LIU School of Mathematical Sciences Dalian University of TechnologyDalian 116024P.R.China

The para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere S^(n),which is invariant under the Mobius transformations on *** some typical new examples of umbilic-free submanifolds in Snwith vanishing Mobius form and a parallel para-Blaschke tensor of two distinct eigenvalues,D_(1) and D_(2),are *** main theorem of this paper is a simple characterization of these newly found examples in terms of the eigenvalues D_(1) and D_(2).

关键词： Parallel Blaschke tensor vanishing Mobius form constant scalar curvature parallel mean curvature vector field

Regular Space-like Hypersurfaces in S1^m+1 with Parallel Para-Blaschke Tensors

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2017年第10期33卷 1361-1381页

作者： Xing Xiao LI Hong Ru SONG School of Mathematics and Information Science He'nan Normal UniversityXinxiang 453007P.R.China

In this paper, we give a complete conformal classification of the regular space-like hyper- surfaces in the de Sitter Space S~＋1 with parallel para-Blaschke tensors.

关键词： Conformal form parallel para-Blaschke tensor conformal metric conformal second fun-damental form constant scalar curvature constant mean curvature

Stable Hypersurfaces in a 4-Dimensional Sphere

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2016年第6期36卷 718-722页

作者： Peng ZHU Shouwen FANG School of Mathematics and physics Jiangsu University of Technology School of Mathematical Sciences Yangzhou University

We study complete noncompact 1-minimal stable hypersurfaces in a 4-dimensional sphere *** show that there is no complete noncompact 1-minimal stable hypersurfaces in Swith polynomial volume growth and the restriction of the mean curvature and GaussKronecker *** results are partial answers to the conjecture of Alencar,do Carmo and Elbert when the ambient space is a 4-dimensional sphere.

关键词： constant scalar curvature 1-minimal stable hypersurfaces in space forms

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

共形平坦的黎曼流形

郑州大学学报（理学版） 1987年第2期28卷 20-22页

作者：李志波

设M是n>2维连通的微分流形。本文利用微分几何中的Bochner技巧证明了下述定理: 定理A.设M是n>2维紧致、共形平坦的黎曼流形,具常标量曲率,则M是常曲率黎曼流形。文献[1]证明了下述定理:设M是n≥3维紧致、共形平坦的黎曼流形,具有常标置... 详细信息

设M是n>2维连通的微分流形。本文利用微分几何中的Bochner技巧证明了下述定理: 定理A.设M是n>2维紧致、共形平坦的黎曼流形,具常标量曲率,则M是常曲率黎曼流形。文献[1]证明了下述定理:设M是n≥3维紧致、共形平坦的黎曼流形,具有常标置曲率r.如果RiCCi张量的长度小于r/2n-1,则M是常曲率的。 [1]文是用“夹击”（Pinch）Ricci张量的方法证明上述结果的。如定理A所示,在很自然的前提下（微分流形M是连通的）关于Ricci张量的长度的限制可以丢掉。

关键词： constant scalar curvature Conformally flat Space of scalar curvature Quasi-negative function.