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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 050, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.050 (Mi sigma1945) 		 
On the Spectrum of Certain Hadamard Manifolds

Werner Ballmanna, Mayukh Mukherjeeb, Panagiotis Polymerakisc

a Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
b Indian Institute of Technology Bombay, Powai, 400076 Maharashtra, India
c Department of Mathematics, University of Thessaly, 3rd km Old National Road Lamia-Athens, 35100 Lamia, Greece
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DOI: https://doi.org/10.3842/SIGMA.2023.050
Abstract: We show the absolute continuity of the spectrum and determine the spectrum as a set for two classes of Hadamard manifolds and for specific domains and quotients of one of the classes.
Keywords: Laplace operator, absolutely continuous spectrum, point spectrum, Hadamard manifold, asymptotically harmonic manifold.
Funding agency Grant number
Max-Planck-Institut für Mathematik
Western NIS Enterprise Fund RD/0519-IRCCSH0-024
We would like to thank the Max Planck Institute for Mathematics in Bonn for its support and hospitality. The second author’s research was also partially supported by SEED Grant RD/0519-IRCCSH0-024.
Received: January 27, 2023; in final form July 14, 2023; Published online July 23, 2023
Document Type: Article
MSC: 58J50, 53C20
Language: English
Citation: Werner Ballmann, Mayukh Mukherjee, Panagiotis Polymerakis, “On the Spectrum of Certain Hadamard Manifolds”, SIGMA, 19 (2023), 050, 19 pp.
Citation in format AMSBIB
\Bibitem{BalMukPol23}
\by Werner~Ballmann, Mayukh~Mukherjee, Panagiotis~Polymerakis
\paper On the Spectrum of Certain Hadamard Manifolds
\jour SIGMA
\yr 2023
\vol 19
\papernumber 050
\totalpages 19
\mathnet{http://mi.mathnet.ru/sigma1945}
\crossref{https://doi.org/10.3842/SIGMA.2023.050}
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