Isoscattering on surfaces

DOI10.1007/BF02930995zbMath1040.58010arXivmath/0205219OpenAlexW1993627727MaRDI QIDQ1414831

Robert Brooks, Orit Davidovich

Publication date: 4 December 2003

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205219

zbMATH Keywords

isoscattering surfacesSunada's method

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (4)

Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds ⋮ Determinants of Laplacians and isopolar metrics on surfaces of infinite area. ⋮ Inverse scattering results for manifolds hyperbolic near infinity ⋮ Isoscattering deformations for complete manifolds of negative curvature

Cites Work

• Riemannian coverings and isospectral manifolds
• Determinants of Laplacians and isopolar metrics on surfaces of infinite area.
• Isoscattering Schottky manifolds
• Transplantation and isospectrality. I
• Isospectral surfaces of small genus
• Kuznecov Sum Formulae and Szegˇ Limit Formulae on Manifolds
• Isophasal scattering manifolds in two dimensions

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