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991.
Hodgson and Kerckhoff found a small bound on Dehn surgered 3-manifolds from hyperbolic knots not admitting hyperbolic structures using deformations of hyperbolic cone-manifolds. They asked whether the area normalized meridian length squared of maximal tubular neighborhoods of the singular locus of the cone-manifold is decreasing and that summed with the cone-angle squared is increasing as we deform the cone-angles. We confirm this near 0 cone-angles for an infinite family of hyperbolic cone-manifolds obtained by Dehn surgeries along the Whitehead link complements. The basic method rests on explicit holonomy computations using the A-polynomials and finding the maximal tubes. One of the key tools is the Taylor expansion of a geometric component of the zero set of the A-polynomial in terms of the cone-angles. We also show that a sequence of Taylor expansions for Dehn surgered manifolds converges to 1 for the limit hyperbolic manifold. 相似文献
992.
Bernd Schmeikal 《Advances in Applied Clifford Algebras》2006,16(2):159-165
The idempotent sets in sufficiently sophisticated algebras form manifolds and Hausdorff spaces. In this paper it is shown
how the idempotents in a real Clifford algebra Clp,q can be calculated by nilpotents and reflections. Minimal sets of nilpotents are given and generating relations are defined.
It is shown that the manifold thus constructed is complete. Every idempotent in the manifold can be calculated in the way
proposed here, namely by a nilpotent multinomial form. 相似文献
993.
Connections on Complex Finsler Manifold 总被引:2,自引:0,他引:2
Rong-muYan 《应用数学学报(英文版)》2003,19(3):431-436
We introduce Finsler metric on complex manifold and discuss connections induced by this metric. 相似文献
994.
Multicomponent evolution equations associated with linear connections on complex manifolds are considered. It is proved that under some general assumptions an equation from this class is integrable by inverse scattering method if the corresponding linear connection is the Levi-Civita connection of an indefinite Kählerian metric of constant holomorphic sectional curvature. This result is based on a certain characterization of the above-mentioned Levi-Civita connections. It is shown that the obtained integrable equations are generalized ferromagnetics, and recurrent formulas for their local conservation laws are given. 相似文献
995.
M. R. Soloveitchik 《Potential Analysis》1995,4(6):571-593
The main objectives of the present paper are: (i) to construct a proper generalization of Ornstein-Uhlenbeck process for the
case of a smooth Riemannian manifold (also under the action of an external potential field); (ii) to prove a Central Limit
Theorem for a certain class of additive functionals, making use of the estimations how fast the process converges to equilibrium;
(iii) to investigate spectral properties of the corresponding generator; and (iv) to discuss some geometrical aspects of averaging
for this process. 相似文献
996.
本文研究如何运用特征值方法计算代数方程组的流形解,结果表明利用特征值方法能计算多项式方程组解集的不可约分支的一般点,从而特征值方法是求解代数方程组的整体解法。 相似文献
997.
In this paper we give an introduction to the notion of meromorphic transform. We describe some equidistribution problems and their solution, using the ddc-method. In particular, we give some statistical properties of the equilibrium measure for meromorphic maps on compact Kahler manifolds: K-mixing, exponential decay of correlations and central limit theorem. 相似文献
998.
一类三维生态动力系统的Hopf分支 总被引:1,自引:0,他引:1
考虑一类具偏食习惯的捕食者与被捕食者模型.利用中心流形定理和 Hopf分支理论讨论并证明了该系统在一定条件下产生Hopf分支,得到中心流形、小振幅空间周期解的渐近表达式,同时给出了周期解稳定性判据. 相似文献
999.
1000.
Consider a hypermanifold M
0 of a Riemannian manifold N whose Riccicurvature is bounded from below. If M
0 is transversal to a conformalvector field on N, then conditions are given, such that the meancurvature evolution of M
0 with Dirichlet boundary conditions has asolution for all times. 相似文献