Relatively Isospectral Noncompact Surfaces

DOI10.1007/978-3-0348-0466-0_19zbMath1261.53034OpenAlexW97346966MaRDI QIDQ4912959

Clara L. Aldana, Pierre Albin, Frédéric Rochon

Publication date: 2 April 2013

Published in: Microlocal Methods in Mathematical Physics and Global Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0466-0_19

zbMATH Keywords

Riemannian surfacesisospectral

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Inverse scattering results for manifolds hyperbolic near infinity
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Compact isospectral sets of surfaces
• Upper bounds on the number of resonances for non-compact Riemann surfaces
• Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

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