MANIFOLD

作品数:522被引量:677H指数:10
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相关领域:理学更多>>
相关作者:刘泉声刘学伟蒋占四徐增敏赵汝文更多>>
相关机构:北京师范大学江苏德是和通信科技有限公司西华大学南开大学更多>>
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相关基金:国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>
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Stability for F-Harmonic Maps
《Chinese Quarterly Journal of Mathematics》2007年第3期339-343,共5页刘建成 
the NSFC(10571129);the Mathematical Tianyuan Fund(A0324662)
In this paper, the author discusses the stable F-harmonic maps, and obtains the Liouville-type theorem for F-harmonic maps into δ-pinched manifolds, which improves the ones in [3] due to M Ara.
关键词:F-harmonic map STABILITY δ-pinched manifold 
The First Eigenvalue of a Compact Manifold
《Chinese Quarterly Journal of Mathematics》2005年第2期200-205,共6页ZHAODi YANGJian-an 
Supported by the NNSF of China(10271011)Supported by LIMB of the Ministry of Education China
This paper discusses the first eigenvalue on a compact Riemann manifold with the negative lower bound Ricci curvature. Let M be a compact Riemann manifold with the Ricci curvature≥-R, R=const. ≥0 and d is the diamet...
关键词:Ricci curvature first eigenvalue 
Classification Method of Graphlike Manifold
《Chinese Quarterly Journal of Mathematics》2003年第2期178-181,共4页WANGYu-min LIQi-sheng LIUZhen 
In this paper,we give a kind of method which can easily be operated to classify the graphlike manifold with contraction.
关键词:CLASSIFICATION MANIFOLD 
Second Order Parallel Tensors on Quasi-constant Curvature Manifolds
《Chinese Quarterly Journal of Mathematics》2002年第2期101-105,共5页贾兴琴 
SupportedbytheNaturalScienceFoundationofHenanEduationalCommittee
The author establishes in this paper the following results: (1) In a quasiconstant curvature manifold M a parallel tensor of type is constant multiple of the metric tensor. (2) On a quasi_constant curvature manifold ...
关键词:quasi_consttant curvature manifold second order parallel tensor parallel 2_form 
Two Dimensional Submanifolds in Four Manifolds with Boundary
《Chinese Quarterly Journal of Mathematics》1999年第1期82-87, ,共6页高红铸 于大哲 
A fundamental problem in four dimensional differential topology is to find a surface with minimal genus which represents a given homology class. This problem was considered by many people for closed 4 manifolds. In th...
关键词:manifold with boundary SUBMANIFOLD normal Euler number 
Totally Geodesic Invariant Subm anifolds of Contact Metric Manifold被引量:1
《Chinese Quarterly Journal of Mathematics》1998年第4期103-105, ,共3页万勇 宋鸿藻 
The purpose of this paper is to give a sufficient and necessary condition of totally geodesic on invariant submanifold of contact metric manifold and is to generalize the results in [3] and [4].
关键词:contact metric manifold invariant submanifold totally geodesic 
An Involution on a Closed Manifold with the Fixed Point Set RP(1 )∪P(m,n)被引量:2
《Chinese Quarterly Journal of Mathematics》1998年第2期16-26, ,共11页郭海英 
In this paper,we study all the possible bordism classes for a smooth involution on a smooth closed manifold whose fixed point set is RP(1)∪P(m,n),m>0,n>0.
关键词:bordism class INVOLUTION 
A Remark on Contact Hypersurfaces of a Complex Hyperbolic Space
《Chinese Quarterly Journal of Mathematics》1993年第3期30-34,共5页许志才 
A differentiable manifold is said to be contact if it admits a linear functional f on the tangent bundle satisfying f ∧(df)^(M-1)≠0.This remark obtain the following the classification:Let M be a complete connected c...
关键词:differentiable manifold tangent bundle. 
2-Harmonic Curves Isometrially Immersed in a Surface
《Chinese Quarterly Journal of Mathematics》1993年第3期103-107,共5页格桑尼玛 
In this paper,the author proves the necessary and sufficient condition for the existence of 2-harmonically and isometrically immersed curves in a 2-dimensinonal surface N∪→IE^3.
关键词:Rieman manifold comact differental operator 
On the Comparison Theorems for the Volume of Tubes in Kahlerian Manifolds
《Chinese Quarterly Journal of Mathematics》1992年第2期91-100,共10页陈维桓 
Supported in part by National Foudation of Natural Science of China.
In this note we give some comparison theorems for the volume of tubes around a complex submanifold in a Kahlerian monifold.
关键词:Kahlerian manifold TUBE VOLUME comparison theorem 
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