Werner Ballmann, Mayukh Mukherjee, Panagiotis Polymerakis, “On the Spectrum of Certain Hadamard Manifolds”, SIGMA, 2023, том 19,050, 19 стр.

On the Spectrum of Certain Hadamard Manifolds

Werner Ballmann^a, Mayukh Mukherjee^b, Panagiotis Polymerakis^c

^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

Аннотация: 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.

Ключевые слова: Laplace operator, absolutely continuous spectrum, point spectrum, Hadamard manifold, asymptotically harmonic manifold.

MSC: 58J50, 53C20

Поступила: 27 января 2023 г.; в окончательном варианте 14 июля 2023 г.; опубликована 23 июля 2023 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2023.050