搜索结果: 16-30 共查到“数学 manifold”相关记录44条 . 查询时间(0.062 秒)
Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes
spectral problem Riemannian manifold consisting
2010/11/22
The paper deals with the asymptotic behavior as $\eps\to 0$ of the spectrum of Laplace-Beltrami operator $\Delta\e$ on the Riemannian manifold $M\e$ ($\mathrm{\dim} M\e=N\geq 2$) depending on a small ...
Asymptotic estimates on the time derivative of entropy on a Riemannian manifold
the time derivative entropy Riemannian manifold
2010/11/23
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the manifold is compact, we provide two estimates on the rate of change of the entropy in terms of the lower...
Geodesics and distance on the Riemannian manifold of Riemannian metrics
the Riemannian manifold Riemannian metrics
2010/11/11
Given a fixed closed manifold M, we exhibit an explicit formula for the distance function of the canonical L^2 Riemannian metric on the manifold of all smooth Riemannian metrics on M. Additionally, w...
Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere
Universal Abelian Cover Graph Rationla Homology Sphere
2010/11/8
It was shown in my earlier article that the splice diagram of a rational homology sphere graph manifold determines the manifolds universal abelian cover. In this article we use the proof of this to g...
The energy of a conformal warped manifold and applications
conformal warped manifold applications
2010/11/18
We introduce and study the notion of the energy of a conformally warped manifold, which includes as special cases the Yamabe constant and Perelman's $\nu$-entropy. We then investigate some properties...
On trajectories of vortices in the compressible fluid on a two-dimensional manifold
the compressible fluid two-dimensional manifold
2010/11/17
For the model of a compressible barotropic fluid on a two dimensional rotating Riemmanian manifold we discuss a special class of smooth solutions having a form of a steady non-singular vortex moving ...
The Tambara-Yamagami categories and 3-manifold invariants
Tambara-Yamagami categories 3-manifold invariants
2010/12/3
We prove that if two Tambara-Yamagami categories T Y(A, , )and T Y(A′, ′, ′) give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A,A′ is odd, then = ′ a...
The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes
Isoperimetric Profile Noncompact Riemannian Manifold for Small Volumes
2010/11/29
Let M be an n-dimensional Riemannian manifold. We deal, mainly, with the problem of finding a relatively compact domain D ⊂⊂ M that minimizes Area(∂D) among domains of the same volum...
Partial Isometries of a Sub-Riemannian Manifold
Sub-Riemannian manifold partial isometry Carnot-caratheodory metric path-isometry
2010/12/13
In this paper, we obtain the following generalisation of isometric C1-immersion theorem of Nash and Kuiper. Let M be a smooth manifold of dimension m and H a rank k subbundle of the tangent bundle TM ...
Every closed Kähler manifold with degree of mobility $\ge 3$ is $(CP(n), g_{Fubini-Study})$
Every closed Kä hler manifold degree
2010/12/14
The degree of mobility of a (pseudo-Riemannian) K¨ahler metric is the dimension of the space of metrics h-projectively equivalent to it. We prove that a metric on a closed connected manifold can not h...
In this article we present examples of simply connected symplectic 4-manifolds X whose canonical classes are represented by complicated disjoint unions of symplectic submanifolds of X: Theorem. Given ...
Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators
synchronization manifold der Pol oscillators nearest neighbors
2010/4/1
We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit...
Combined space-time manifold and the quantum geometry
Relativity quantum unification particle wave duality
2010/9/13
In a previous article we defined ”combined manifold” M3 as the graph of a diffeomorphism from one manifold M1 to another M2, akin to the idea of a diagonal map. In this paper, we derive the values for...
An affine embedding of the gamma manifold
gamma manifold statistical manifold affine immersion
2009/1/12
For the space of gamma distributions with Fisher metric and exponential connec-
tions, natural coordinate systems, potential functions and an affine immersion
in R3 are provided.
The model form and the \zeta-function for an elliptic differential operator of the second order on a manifold with turning points
model form turning manifold turning point
2010/9/10
This work represents the results of our research of the elliptic operator of the second order on a closed smooth manifold with the presence of turning points. The techniques, that were used in prevous...