Generalized scattering phases for asymptotically hyperbolic manifolds

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Scattering Poles for Asymptotically Hyperbolic Manifolds

Scattering poles for a convex obstacle in the Euclidean space have been extensively studied starting with the work of Watson ’18, with more recent results by Hargé–Lebeau ’94 , Sjöstrand–Zworski ’99 and Jin ’15. In contrast, practically nothing is known for the same problem in hyperbolic space. I will explain the difficulties involved in that and use them as a platform to present a modified ver...

متن کامل

Scattering Poles for Asymptotically Hyperbolic Manifolds

For a class of manifolds X that includes quotients of real hyperbolic (n + 1)-dimensional space by a convex co-compact discrete group, we show that the resonances of the meromorphically continued resolvent kernel for the Laplacian on X coincide, with multiplicities, with the poles of the meromorphically continued scattering operator for X. In order to carry out the proof, we use Shmuel Agmon’s ...

متن کامل

Inverse Scattering on Asymptotically Hyperbolic Manifolds

Scattering is deened on compact manifolds with boundary which are equipped with an asymptotically hyperbolic metric, g: A model form is established for such metrics close to the boundary. It is shown that the scattering matrix at energy exists and is a pseudo-diierential operator of order 2 + 1 ? dim X: The symbol of the scattering matrix is then used to show that except for a discrete set of e...

متن کامل

Radiation Fields, Scattering and Inverse Scattering on Asymptotically Hyperbolic Manifolds

We define the forward and backward radiation fields on an asymptotically hyperbolic manifold and show that they give unitary translation representations of the wave group, and as such can be used to define a scattering matrix. We show that this scattering matrix is equivalent to the one defined by stationary methods. Furthermore, we prove a support theorem for the radiation fields which general...

متن کامل

Rigidity of Asymptotically Hyperbolic Manifolds

In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Comptes Rendus Mathematique

سال: 2004

ISSN: 1631-073X

DOI: 10.1016/j.crma.2004.03.002