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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 .
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...
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...
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...