Bounded geodesics in rank-1 locally symmetric spaces
نویسندگان
چکیده
منابع مشابه
Scattering Matrices and Scattering Geodesics of Locally Symmetric Spaces
Let Γ\X be a Q-rank one locally symmetric space. We describe the frequencies of oscillation of scattering matrices on Γ\X in the energy variable in terms of sojourn times of scattering geodesics. Scattering geodesics are the geodesics which move to infinity in both directions and are distance minimizing near both infinities. The sojourn time of a scattering geodesic is the time it spends in a f...
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This paper is the first of two papers constructing a calculus of pseudodifferential operators suitable for doing analysis on Q-rank 1 locally symmetric spaces and Riemannian manifolds generalizing these. This generalization is the interior of a manifold with boundary, where the boundary has the structure of a tower of fibre bundles. The class of operators we consider on such a space includes th...
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A pair of points in a riemannian manifold makes a secure configuration if the totality of geodesics connecting them can be blocked by a finite set. The manifold is secure if every configuration is secure. We investigate the security of compact, locally symmetric spaces.
متن کاملWeakly Symmetric Spaces and Bounded Symmetric Domainshieu
In this paper, new examples of weakly symmetric spaces in the sense of A. Selberg 14] are constructed. Let G be a connected, simply-connected, simple Lie group of hermitian type and K a maximal compactly embedded subgroup of G such that D = G=K is an irreducible classical bounded symmetric domain. Let G 1 and D 1 be circle extensions of G and D, respectively. The factor of automorphy induces a ...
متن کاملCorrection and Supplements to “scattering Matrices and Scattering Geodesics of Locally Symmetric Spaces”
– This note corrects and complements our paper entitled “Scattering matrices and scattering geodesics of locally symmetric spaces” (Ann. Sci. Éc. Norm. Sup. 34 (2001) 441–469). 2002 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. – Nous apportons des corrections et des compléments à notre article intitulé “Scattering matrices and scattering geodesics of locally symmetric spaces” paru...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1995
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700009640