共查询到20条相似文献,搜索用时 15 毫秒
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Chi-Keung Cheung 《Mathematische Zeitschrift》1989,201(1):105-119
Research partially supported by National Science Foundation 相似文献
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R. J. Zimmer 《Inventiones Mathematicae》1984,75(3):425-436
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U. Abresch 《Journal of Mathematical Sciences》1999,94(2):1138-1140
This lecture is about the global structure of Riemannian manifolds with negative sectional curvature and finite volume. A fundamental question is to find and analyze geometric conditions which ensure that Mn has finitely many ends or, stronger, that Mn is of finite topological type. 相似文献
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John M. Lee 《Journal of Geometric Analysis》1996,6(1):79-90
The main result of this paper is that the identity component of the automorphism group of a compact, connected, strictly pseudoconvex CR manifold is compact unless the manifold is CR equivalent to the standard sphere. In dimensions greater than 3, it has been pointed out by D. Burns that this result follows from known results on biholomorphism groups of complex manifolds with boundary and the fact that any such CR manifoldM can be realized as the boundary of an analytic variety. WhenM is 3-dimensional, Burns’s proof breaks down because abstract CR 3-manifolds are generically not realizable as boundaries. This paper provides an intrinsic proof of compactness that works in any dimension. 相似文献
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Hu Zejun 《数学学报(英文版)》1998,14(3):361-370
We study the conformal deformation for prescribing scalar curvature function
on Cartan-Hadamard manifoldM
n
(n≥3) with strongly negative curvature. By employing the supersubsolution method and a careful construction for the supersolution,
we obtain the best possible asymptotic behavior for
near infinity so that the problem of complete conformal deformation is solvable. In more general cases, we prove an asymptotic
estimation on the solutions of the conformal scalar curvature equation.
Project partially supported by the NNSF of China 相似文献
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We construct continuous families of nonisometric metrics on simply connected manifolds of dimension n ≥ 9which have the same scattering phase, the same resolvent resonances, and strictly negative sectional curvatures. This situation
contrasts sharply with the case of compact manifolds of negative curvature, where Guillemin/Kazhdan, Min-Oo, and Croke/Sharafutdinov
showed that there are no nontrivial isospectral deformations of such metrics. 相似文献
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Here we extend Hadamards’ Theorem to other homogeneous three manifolds, i.e., we prove that a compact orientable immersed surface Σ in general position whose principal curvatures κ i , i = 1, 2, satisfy κ i ≥ τ, is an embedded sphere. 相似文献
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Siegfried Nobel 《Journal of Theoretical Probability》1991,4(2):261-284
LetX
1,X
2,... be i.i.d. random variables with values in a simply connected nilpotent Lie groupG. Assume the laws of
to be weakly convergent to a probability measure onG,
n
Aut(G), and (k
n)n strictly increasing in. In this paper we want to characterize the possible limit laws. We obtain that every limit law is continuously embeddable and we prove a kind of functional limit theorem. Further, we study the connections between two different concepts of stability (resp. semistability) and limit laws. Finally, we describe the various domains of attraction of measures (resp. of convolution semigroups). 相似文献
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We prove that a finitely generated group acting without fixed point on a n-dimensional Cartan–Hadamard manifold of pinched sectional curvature is either virtually nilpotent or has entropy . To cite this article: G. Besson et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). 相似文献