搜索结果: 1-15 共查到“数学 symmetric spaces”相关记录18条 . 查询时间(0.132 秒)
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
generalized triangle inequalities symmetric spaces and buildings applications to algebra
2015/10/14
In this paper we apply our results on the geometry of polygons in infinitesimal symmetric spaces, symmetric spaces and buildings, [KLM1, KLM2], to four problems in algebraic group theory. Two of these...
Real-Variable Theory and Fourier Integral Operators on Semisimple Lie Groups and Symmetric Spaces of Real Rank One
Real-Variable Theory Fourier Integral Operators Semisimple Lie Groups Symmetric Spaces Real Rank One
2014/4/3
Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will p...
Visual limits of maximal flats in symmetric spaces and Euclidean buildings
visual limit geometric limit CAT(0) geometry geodesic boundary convex subset maximal flat symmetric space of non-compact type Euclidean building topological spherical building
2012/6/25
Let X be a symmetric space of non-compact type or a locally finite, strongly transitive Euclidean building, and let B denote the geodesic boundary of X. We reduce the study of visual limits of maximal...
Weyl-Schouten Theorem for symmetric spaces
Weyl tensor symmetric space Differential Geometry
2011/9/16
Abstract: Let N be a symmetric space of dimension n > 5 whose de Rham decomposition contains no factors of constant curvature and let W be the Weyl tensor of N at some point. We prove that a Riemannia...
Patterson-Sullivan distributions for symmetric spaces of the noncompact type
Patterson-Sullivan distributions symmetric spaces noncompact type
2011/1/18
There is a curious relation between two kinds of phase space distributions associated to Laplace-eigenfunctions ϕk on a compact hyperbolic manifold Y .
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Stability of symmetric spaces of noncompact type under Ricci flow
symmetric spaces noncompact type under Ricci flow
2010/11/23
In this paper we establish stability results for symmetric spaces of noncompact type under Ricci flow, i.e. we will show that any small perturbation of the symmetric metric is flown back to the origin...
Polynomial estimates for c-functions on reductive symmetric spaces
Polynomial c-functions reductive symmetric spaces
2010/11/8
The c-functions, related to a reductive symmetric space G/H and a fixed representation of a maximal compact subgroup K of G, are shown to satisfy polynomial bounds in imaginary directions.
On duality and negative dimensions in the theory of Lie groups and symmetric spaces
duality negative dimensions theory Lie groups symmetric spaces
2010/11/8
We give one more interpretation of the symbolic formulae $U(-N)=U(N)$ and $Sp(-2N)=SO(2N)$ by comparing the values of certain Casimir operators in the corresponding tensor representations. We show al...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Homotopes of Symmetric Spaces II. Structure Variety and Classification
Homotopes of Symmetric Spaces II Structure
2010/11/19
We classify homotopes of classical symmetric spaces (studied in Part I of this work). Our classification uses the fibered structure of homotopes: they are fibered as symmetric spaces, with flat fibers...
On the Uniqueness of Solutions of the Schrödinger Equation on Riemannian Symmetric Spaces of the Noncompact Type
the Schrö dinger Equation Riemannian Symmetric Spaces the Noncompact Type
2010/11/11
Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schr\"odinger equation on X with square integrable initial condition f is identically ze...
Homotopes of Symmetric Spaces I. Construction by Algebras with Two Involutions
Homotopes of Symmetric Spaces I Algebras Involutions
2010/11/19
We investigate a special kind of contraction of symmetric spaces (respectively, of Lie triple systems), called homotopy. In this first part of a series of two papers we construct such contractions fo...
Deforming symplectomorphism of irreducible Hermitian symmetric spaces of compact type by mean curvature flow
K¨ahler-Einstein manifold symplectomorphism mean curvature flow
2010/12/9
In this paper, we generalize Medos-Wang’s arguments and results on the mean curvature flow deformations of symplectomorphisms of CPn in [22] to complex Grassmann manifold G(n, n+m;C) and compact total...
The equivariant cohomology of isotropy actions on symmetric spaces
equivariant cohomology of isotropy actions symmetric spaces
2010/12/9
We show that for every symmetric space G=K of compact type with K connected, the K-action on G=K by left translations is equivariantly formal.