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21.
WANG FengYu School of Mathematical Sciences Beijing Normal University Beijing China 《中国科学 数学(英文版)》2010,(4)
By establishing the intrinsic super-Poincar'e inequality,some explicit conditions are presented for diffusion semigroups on a non-compact complete Riemannian manifold to be intrinsically ultracontractive.These conditions,as well as the resulting uniform upper bounds on the intrinsic heat kernels,are sharp for some concrete examples. 相似文献
22.
We consider the Riemannian universal covering of a compact manifold M = X/ and assume that is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrödinger operators on X. 相似文献
23.
Adler Roy L.; Dedieu Jean-Pierre; Margulies Joseph Y.; Martens Marco; Shub Mike 《IMA Journal of Numerical Analysis》2002,22(3):359-390
To study a geometric model of the human spine we are led tofinding a constrained minimum of a real valued function definedon a product of special orthogonal groups. To take advantgeof its Lie group structure we consider Newton's method on thismanifold. Comparisons between measured spines and computed spinesshow the pertinence of this approach. 相似文献
24.
Simon Gindikin Bernhard Krö tz 《Transactions of the American Mathematical Society》2002,354(8):3299-3327
In this paper we define a distinguished boundary for the complex crowns of non-compact Riemannian symmetric spaces . The basic result is that affine symmetric spaces of can appear as a component of this boundary if and only if they are non-compactly causal symmetric spaces.
25.
ShaoJiFENG DeXingFENG 《数学学报(英文版)》2004,20(6):1057-1072
For wave equations with variable coefficients on regions which are not necessarily smooth, we study the energy decay rate when a nonlinear damping is applied on a suitable subrigion. 相似文献
26.
Serge A. Bogdanovich Alexander A. Ermolitski 《Central European Journal of Mathematics》2004,2(5):615-623
Some results concerning almost hyperHermitian structures are considered, using the notions of the canonical connection and
the second fundamental tensor field h of a structure on a Riemannian manifold which were introduced by the second author.
With the help of any metric connection
on an almost Hermitian manifold M an almost hyperHermitian structure can be constructed in the defined way on the tangent bundle TM. A similar construction was considered in [6], [7]. This structure includes two basic anticommutative almost Hermitian structures
for which the second fundamental tensor fields h
1 and h
2 are computed. It allows us to consider various classes of almost hyperHermitian structures on TM. In particular, there exists an infinite-dimensional set of almost hyperHermitian structures on TTM where M is any Riemannian manifold. 相似文献
27.
We classify the complete metrics of nonnegative sectional curvature on M
2 × 2, where M
2 is any compact 2-manifold. 相似文献
28.
Large volume growth and finite topological type 总被引:5,自引:0,他引:5
D. Ordway B. Stephens D. G. Yang 《Proceedings of the American Mathematical Society》2000,128(4):1191-1196
It is shown in this paper that a complete noncompact -dimensional Riemannian manifold with nonnegative Ricci curvature, sectional curvature bounded from below, and large volume growth is of finite topological type provided that the volume growth rate of the complement of the cone of rays from a fixed base point is less than .
29.
Eva Tourís 《Journal of Mathematical Analysis and Applications》2011,380(2):865-881
In this paper we obtain the equivalence of the Gromov hyperbolicity between an extensive class of complete Riemannian surfaces with pinched negative curvature and certain kind of simple graphs, whose edges have length 1, constructed following an easy triangular design of geodesics in the surface. 相似文献
30.
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian’s
metrization procedure can be relaxed. Then, we prove that Barbilian’s metrization procedure in the plane generates either
Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics. 相似文献