共查询到20条相似文献,搜索用时 0 毫秒
1.
本文研究了具有非负Ricci曲率和次大体积增长的完备黎曼流形的拓扑结构问题.利用Toponogov型比较定理及临界点理论,获得了流形具有有限拓扑型的结果,推广了H.Zhan和Z.Shen的定理,并且还证明了该流形的基本群是有限生成的. 相似文献
2.
In this article, we concern on complete manifolds with finite volume. We prove that under some assumptions about scalar curvature and the Yamabe constant, the manifolds must be compact, and we also give the diameter estimates in terms of the scalar curvature and the Yamabe constant. 相似文献
3.
本文研究了复射影空间中具有常数量曲率的完备全实子流形的问题.利用丘成桐的广义极大值原理和自伴随算子,获得了这类子流形的某些内蕴刚性定理. 相似文献
4.
Lin Junmin 《数学年刊B辑(英文版)》1998,19(2):153-156
This note shows the nullity of homotopy groups for complete three dimensional manifoldswith Ricci≥ 0 under some growth condition of the geodesic ball. The author also gives someexamples which show the growth condition here is optimal in some sense. 相似文献
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邓勤涛 《数学物理学报(B辑英文版)》2011,31(1):353-360
In this article, we prove that any complete finite index hypersurface in the hyperbolic space H4(-1)(H5(-1)) with constant mean curvature H satisfying H2 > 6634 (H2 > 114785 respectively) must be compact. Specially, we verify that any complete and stable hypersurface in the hyperbolic space H4(-1) (resp. H5(-1)) with constant mean curvature H satisfying H2 > 6643 (resp. H2 > 114785 ) must be compact. It shows that there is no manifold satisfying the conditions of some theorems in [7, 9]. 相似文献
7.
Let (M, F ) be the product complex Finsler manifold of two strongly pseudoconvex complex Finsler manifolds (M 1 , F 1 ) and (M 2 , F 2 ). In this paper, we obtain the relationship between the Chern Finsler connection coefficients Γ i ; k associated to F and the Chern Finsler connection coefficients Γ a ; c , Γα ; γ associated to F 1 , F 2 , respectively. As applications we prove that, if both (M 1 , F 1 ) and (M 2 , F 2 ) are strongly Ka¨hler Finsler (complex Berwald, or locally complex Minkowski, respectively) manifolds, so does (M, F ). Furthermore, we prove that the holomorphic curvature K F = 0 if and only if K F1 = 0 and K F2 = 0. 相似文献
8.
SCALAR CURVATURES ON NONCOMPACT RIEMANN MANIFOLDS 总被引:1,自引:1,他引:0
Zhou Detang 《数学年刊B辑(英文版)》1995,16(1):87-92
SCALARCURVATURESONNONCOMPACTRIEMANNMANIFOLDS¥ZHOUDETANGAbstract:Theauthorobtainssometheoremsforafunctiontobethescalarcurvatur... 相似文献
9.
Under the hypothesis of mean curvature flows of hypersurfaces, we prove that the limit of the smooth rescaling of the singularity is weakly convex. It is a generalization of the result due to G.Huisken and C. Sinestrari in. These apriori bounds are satisfied for mean convex hypersurfaces in locally symmetric Riemannian manifolds with nonnegative sectional curvature. 相似文献
10.
§1.IntroductionLetNn+ppbean(n+p)-dimensionalconnectedpseudo-Riemannianmanifoldofindexp.IfNn+ppiscompleteandhasconstantsection... 相似文献
11.
钱斌 《数学物理学报(B辑英文版)》2010,(5):1555-1560
In this note,we obtain the elliptic estimate for diffusion operator L=△+φ on complete,noncompact Riemannian manifolds,under the curvature condition C D(K,m),which generalizes B.L.Kotschwar's work [5].As an application,we get estimate on the heat kernel.The Bernstein-type gradient estimate for Schro¨dinger-type gradient is also derived. 相似文献
12.
本文研究了完备布尔代数L的商格Q(L),建立 L上q-集构成的集合Q′(L)与Q(L)之间的同构,得出了完备布尔代数的商格仍是完备布尔代数,并给出了完备布尔代数范畴的某些性质. 相似文献
13.
FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS 总被引:3,自引:0,他引:3
Yang Yihu 《数学年刊B辑(英文版)》1995,16(3):341-350
FATOUPROPERTYONHARMONICMAPSFROMCOMPLETEMANIFOLDSWITHNONNEGATIVECURVATUREATINFINITYINTOCONVEXBALLS¥YANGYIHUAbstract:Theauthorc... 相似文献
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Zhou Detang 《数学年刊B辑(英文版)》1997,18(2):173-180
CONFORMALDEFORMATIONOFCOMPLETESURFACEWITHNEGATIVECURVATUREZHOUDETANGManuscriptreceivedOctober31,1994.RevisedAugust30,1995.D... 相似文献
15.
COMPLETE HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A SPECIAL KIND OF LOCALLY SYMMETRIC MANIFOLD 下载免费PDF全文
Yingbo Han & Shuxiang Feng 《分析论及其应用》2012,28(2):189-200
In this paper, we investigate n-dimensional complete and orientable hypersufaces M n (n ≥ 3) with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces. 相似文献
16.
Chen Lüping 《数学物理学报(B辑英文版)》2006,26(4):679-690
Using the method of localization, the authors obtain the permutation formula of singular integrals with Bochner-Martinelli kernel for a relative compact domain with C(1) smooth boundary on a Stein manifold. As an application the authors discuss the regularization problem for linear singular integral equations with Bochner-Martinelli kernel and variable coefficients; using permutation formula, the singular integral equation can be reduced to a fredholm equation. 相似文献
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本文研究了完备非紧且Ricci曲率正有界的n维K(a)hler流形上的单值化问题,利用Sobolev不等式,L2估计和Bézout估计和Gauss-Bonnet积分方法,得到了一个单值化定理,推广了流形为有限拓扑型的结果. 相似文献
18.
1IntroductionSupposeMisan-dimensionalmemanllianmanifold.Itiscalledopenifit'sconnectedandnoncompact.Therearemanybeautifulresultsaboutcompleteopenmanifoldswithnon-negativecurvature,seeforexample[1]-[7].Furtherstudyshowsthatthepropertiesofraysonopenmanifoldsareimportant.Manyresultsarealsotrueunderweakercurvatureconditions.InthesequelwewillalwaysassumethatMisacompleteopenmanifold.SupposepEM,uETPM.Wecalluaraydirectionifthereisarayissuingfrompsuchthatvistangenttothisray(Wedefinearaytobeageodes… 相似文献
19.
This paper shows that the C1-curved finite element developed by Bernadon in general can not satisfy the essential boundary conditions on approximate boundary. Furthermore, a modified C1-curved finite element is given, which is compatible with the element of Argyris triangle and can satisfy the homogeneous Dirichlet boundary conditions onapproximate boundary. 相似文献