Riemannian Coverings and Isospectral Manifolds

Toshikazu Sunada

Type: Article

Publication Date: 1985-01-01

Citations: 518

DOI: https://doi.org/10.2307/1971195

View Publication

Locations

Annals of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Isospectral metrics and finite Riemannian coverings	1987	Dennis DeTurck Carolyn S. Gordon
+	Isometric and Isospectral Manifolds	1997	Norman E. Hurt
+	Isospectral Closed Riemannian Manifolds	2001	Mircea Craioveanu Mircea Puta Themistocles M. Rassias
+	Montgomery-Samelson coverings on manifolds	1971	Erik Hemmingsen William L. Reddy
+	Covering Manifolds	1981	Robert D. Richtmyer
+	Isospectral compact flat manifolds	1992	Isabel Dotti Miatello Roberto J. Miatello
+	On Riemannian coverings of manifolds admitting locally splitting actions	1993	Dionyssios Lappas Polychronis Strantzalos
+	Elliptic operators and covers of Riemannian manifolds	1996	Harold Donnelly
+	Elliptic operators and covers of Riemannian manifolds	1996	Harold Donnelly
+	Note on Isospectral Riemannian Manifolds	1993	Ouyang Chong
+	Isometries of Riemannian Manifolds	1995	Shôshichi Kobayashi
+ PDF Chat	Riemannian manifolds isospectral on functions but not on 1-forms	1986	Carolyn S. Gordon
+	Isospectral Conformal Metrics on 3-Manifolds	1990	Sun‐Yung A. Chang Paul Yang
+	Isometry groups of Riemannian fibrations	1989	Hans Rudi Fischer Robert J. Fisher
+	?-flat manifolds and Riemannian submersions	1989	Martin Strake G. Walschap
+	Conformal maps of manifolds of bounded curvature	1981	В. В. Усов
+	Isospectral plane domains and surfaces via Riemannian orbifolds	1992	Carolyn S. Gordon David L. Webb Scott A. Wolpert
+ PDF Chat	Vanishing theorems on covering manifolds	1999	Maxim Braverman
+	Covering Spaces of Graphlike Manifolds	1995	刘亚星
+ PDF Chat	Conformality and isometry of Riemannian manifolds to spheres	1970	Chuan-Chih Hsiung Louis W. Stern

Works That Cite This (494)

Action	Title	Year	Authors
+	Determining hyperbolic 3-manifolds by their surfaces	2015	D. B. McReynolds Alan W. Reid
+ PDF Chat	Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Introduction to some conjectures for spectral minimal partitions	2011	Bernard Helffer
+ PDF Chat	Characterizing covers via simple closed curves	2023	Tarik Aougab Max Lahn Marissa Loving Yang Xiao
+ PDF Chat	Hearing shapes of drums: Mathematical and physical aspects of isospectrality	2010	Olivier Giraud Koen Thas
+ PDF Chat	Iso-length-spectral problem for complete hyperbolic surfaces of finite type	1996	Kentaro Ito
+	Division Algebras and Non-Commensurable Isospectral Manifolds	2005	Alexander Lubotzky Beth Samuels Uzi Vishne
+ PDF Chat	Relations between permutation representations in positive characteristic	2019	Alex Bartel Matthew C. Spencer
+ PDF Chat	Length spectra and degeneration of flat metrics	2010	Moon Duchin Christopher J. Leininger Kasra Rafi
+ PDF Chat	Spectral rigidity and invariant distributions on Anosov surfaces	2014	Gabriel P. Paternain Mikko Salo Günther Uhlmann

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one	1977	Ramesh Gangolli
+	Spectral theory of automorphic functions	1982	Alexei B. Venkov
+	Linear Representations of Finite Groups	1977	Jean-Pierre Serre
+	Basic Algebraic Geometry 2	1994	Igor R. Shafarevich
+	The Length Spectrum as Moduli for Compact Riemann Surfaces	1981	Scott A. Wolpert
+ PDF Chat	On the adele rings of algebraic number fields	1976	Keiichi Komatsu
+	An Analogue of the Prime Number Theorem for Closed Orbits of Axiom a Flows	1983	William Parry Mark Pollicott
+	Selberg's trace formula as applied to a compact riemann surface	1972	H. P. McKean
+ PDF Chat	Small eigenvalues of the Laplace operator on compact Riemann surfaces	1974	Burton Randol
+ PDF Chat	On spherical space forms which are isospectral but not isometric	1983	Akira Ikeda