搜索结果: 1-15 共查到“数学 geodesic”相关记录20条 . 查询时间(0.113 秒)
Proper affine actions and geodesic flows of hyperbolic surfaces
hyperbolic surfaces geodesic fl ows
2015/9/29
Let €0 O.2; 1/ be a Schottky group, and let † D H
2=€0 be the corresponding
hyperbolic surface. Let C.†/ denote the space of unit length geodesic currents
on †. The cohom...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
Integrable vs. nonintegrable geodesic soliton behavior
Geodesic motion Solitons Hamiltonian system Pulsons
2015/6/30
We study confined solutions of certain evolutionary partial differential equations (PDE) in 1 + 1 space–time. The PDE we study are Lie–Poisson Hamiltonian systems for quadratic Hamiltonians defined on...
A REMARK ON GEODESIC GEOMETRY OF TEICHMULLER SPACES
GEODESIC GEOMETRY TEICHMULLER SPACES
2014/9/26
Let T (S) be the Teichm¨uller space of a hyperbolic Riemann surface S and let
Belt(S) be the Banach space of bounded measurable Beltrami differentials μ =
μdz/dz on S with L∞-norms. Suppose M(...
Geodesic restrictions of eigenfunctions on arithmetic surfaces
Geodesic restrictions of eigenfunctions arithmetic surfaces Number Theory
2012/4/23
Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and {\gamma} a geodesic segment on X. We obtain a power saving over the local bound of Burq-G\'erard-Tzvetkov for the L^2 norm of ...
Bounds on volume growth of geodesic balls under Ricci flow
geodesic balls under Ricci flow Differential Geometry Analysis of PDEs
2011/9/16
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
The geodesic flow on a Riemannian supermanifold
The geodesic flow Riemannian supermanifold Differential Geometry
2011/8/31
Abstract: We give a natural definition of geodesics on a Riemannian supermanifold and extend the usual geodesic flow defined on the cotangent bundle of the body of the supermanifold, associated to the...
We prove a certain unexpected regularity of geodesic restrictions for the (hyperbolic) Casimir operator. We prove a nontrivial bound on L2-norm of a geodesic restriction for eigenfunctions
of the Cas...
This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbe...
Toric integrable geodesic flows in odd dimensions
Toric integrable geodesic odd dimensions
2011/1/18
Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n 6= 3 is odd, or if 1(Q) is infinite, we show that the cosphere bundle of Q...
Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics
the Minimizing Geodesic Problem Fluid Mechanics
2010/11/11
We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible...
Geodesic Flows and Neumann Systems on Stiefel Varieties. Geometry and Integrability
Geodesic Flows Neumann Systems n Stiefel Varieties Geometry and Integrability
2010/11/10
We study integrable geodesic flows on Stiefel varieties $V_{n,r}=SO(n)/SO(n-r)$ given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations ...
Groups with polynomial geodesic growth
Geodesic growth virtually nilpotent group with virtu-ally cyclic abelianization
2010/12/13
We study the geodesic growth function for finitely gen-erated groups, and we show that there is a strong relation be-tween virtually cyclic groups and the existence of generating sets
for which geode...
hermodynamic formalism for the positive geodesic flow on the modular surface
hermodynamic formalism positive geodesic flow modular surface
2010/12/10
In this note we study the thermodynamic formalism for the pos-itive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establish conditions for t...
Geodesic diameter of sets defined by few quadratic equations and inequalities
Geodesic diameter of sets defined quadratic equations nequalities
2010/11/29
We prove a bound for the geodesic diameter of a subset of the unit ball in Rn described by a fixed number of quadratic equations and inequalities,which is polynomial in n, whereas the known bound for ...