On the Spectrum of Certain Hadamard Manifolds
We demonstrate the absolute continuity of the spectrum and determine the spectrum as a set for two classes of Hadamard manifolds, as well as for specific domains and quotients of one of these classes.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211981 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Spectrum of Certain Hadamard Manifolds. Werner Ballmann, Mayukh Mukherjee and Panagiotis Polymerakis. SIGMA 19 (2023), 050, 19 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726147524001792 |
|---|---|
| author | Ballmann, Werner Mukherjee, Mayukh Polymerakis, Panagiotis |
| author_facet | Ballmann, Werner Mukherjee, Mayukh Polymerakis, Panagiotis |
| citation_txt | On the Spectrum of Certain Hadamard Manifolds. Werner Ballmann, Mayukh Mukherjee and Panagiotis Polymerakis. SIGMA 19 (2023), 050, 19 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We demonstrate the absolute continuity of the spectrum and determine the spectrum as a set for two classes of Hadamard manifolds, as well as for specific domains and quotients of one of these classes.
|
| first_indexed | 2026-03-21T09:05:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211981 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T09:05:59Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ballmann, Werner Mukherjee, Mayukh Polymerakis, Panagiotis 2026-01-20T16:14:09Z 2023 On the Spectrum of Certain Hadamard Manifolds. Werner Ballmann, Mayukh Mukherjee and Panagiotis Polymerakis. SIGMA 19 (2023), 050, 19 pages 1815-0659 2020 Mathematics Subject Classification: 58J50; 53C20 arXiv:2301.10986 https://nasplib.isofts.kiev.ua/handle/123456789/211981 https://doi.org/10.3842/SIGMA.2023.050 We demonstrate the absolute continuity of the spectrum and determine the spectrum as a set for two classes of Hadamard manifolds, as well as for specific domains and quotients of one of these classes. 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. We would like to thank our institutions for providing us with ideal working conditions. We are also grateful to the referees for their helpful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Spectrum of Certain Hadamard Manifolds Article published earlier |
| spellingShingle | On the Spectrum of Certain Hadamard Manifolds Ballmann, Werner Mukherjee, Mayukh Polymerakis, Panagiotis |
| title | On the Spectrum of Certain Hadamard Manifolds |
| title_full | On the Spectrum of Certain Hadamard Manifolds |
| title_fullStr | On the Spectrum of Certain Hadamard Manifolds |
| title_full_unstemmed | On the Spectrum of Certain Hadamard Manifolds |
| title_short | On the Spectrum of Certain Hadamard Manifolds |
| title_sort | on the spectrum of certain hadamard manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211981 |
| work_keys_str_mv | AT ballmannwerner onthespectrumofcertainhadamardmanifolds AT mukherjeemayukh onthespectrumofcertainhadamardmanifolds AT polymerakispanagiotis onthespectrumofcertainhadamardmanifolds |