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131.
We show that every finite volume hyperbolic manifold of dimension greater than or equal to 3 is stable under rescaled Ricci flow, i.e. that every small perturbation of the hyperbolic metric flows back to the hyperbolic metric again. Note that we do not need to make any decay assumptions on this perturbation. 相似文献
132.
《Indagationes Mathematicae》2014,25(5):1122-1134
We establish a relationship between two different generalizations of Lie algebroid representations: representation up to homotopy and Vaĭntrob’s Lie algebroid modules. Specifically, we show that there is a noncanonical way to obtain a representation up to homotopy from a given Lie algebroid module, and that any two representations up to homotopy obtained in this way are equivalent in a natural sense. We therefore obtain a one-to-one correspondence, up to equivalence. 相似文献
133.
H一射影循环Kaehler流形 总被引:2,自引:0,他引:2
李中林 《浙江大学学报(理学版)》1994,21(1):16-19
本文研究H一射影循环Kaehler流形的性质,导出了该流形曲率张量的代数结构,从而深化了这类流形的已有结果。 相似文献
134.
A. V. Karasev 《Mathematical Notes》1999,66(5):550-555
Under the assumption of the continuum hypothesis, a differentiable 4-manifoldM of dimension dimM=∞ and cohomological dimension cA—dimM=4 is constructed. The spaceM is perfectly normal and hereditarily separable.
Translated fromMatematicheskie Zametki, Vol. 66, No. 5, pp. 664–670, November, 1999. 相似文献
135.
We show in the smooth category that the heat trace asymptotics and the heat content asymptotics can be made to grow arbitrarily rapidly. In the real analytic context, however, this is not true and we establish universal bounds on their growth. 相似文献
136.
Jonathan Spreer 《Discrete Mathematics》2011,(14):1295
We investigate slicings of combinatorial manifolds as properly embedded co-dimension 1 submanifolds. Focus is given to the case of dimension 3, where slicings are (discrete) normal surfaces. For the cases of 2-neighborly 3-manifolds as well as quadrangulated slicings, lower bounds on the number of quadrilaterals of slicings depending on its genus g are presented. These are shown to be sharp for infinitely many values of g. Furthermore, we classify slicings of combinatorial 3-manifolds which are weakly neighborly polyhedral maps. 相似文献
137.
HAN Mao''''an & CHEN Xianfeng Department of Mathematics Shanghai Normal University Shanghai China Department of Mathematics Shanghai Jiao Tong University Shanghai China 《中国科学A辑(英文版)》2005,48(7):940-957
In this paper a bifurcation theorem on the existence of integral manifolds is obtained by using contracting principle. As an application, sufficient conditions for a higher dimensional system to have an integral manifold are given. Especially the existence and uniqueness of a 3-dimensional invariant torus appearing in a 4-dimensional autonomous system with singularity of codimension two are proved. 相似文献
138.
We construct a fundamental solution for a parabolic equation with drift on a Riemannian manifold of nonpositive curvature. We obtain some estimates for this fundamental solution that depend on the conditions on the drift field. 相似文献
139.
This paper establishes the exponential decay of the solutionsof the Schrödinger equation with variable coefficientsin the principal part subject to dissipative feedback actingin the Dirichlet boundary condition. The approach adopted usesa lifting argument in the topology of the solution along withRiemannian geometry method. 相似文献
140.