Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces
The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein-Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the f...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211916 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces. Claude LeBrun. SIGMA 19 (2023), 027, 11 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862605960940355584 |
|---|---|
| author | LeBrun, Claude |
| author_facet | LeBrun, Claude |
| citation_txt | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces. Claude LeBrun. SIGMA 19 (2023), 027, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein-Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the first eigenvalue of the Laplacian.
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| first_indexed | 2026-03-14T04:36:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211916 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T04:36:53Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | LeBrun, Claude 2026-01-16T11:18:58Z 2023 Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces. Claude LeBrun. SIGMA 19 (2023), 027, 11 pages 1815-0659 2020 Mathematics Subject Classification: 53C21; 53C18; 14J26; 58J50 arXiv:2302.12060 https://nasplib.isofts.kiev.ua/handle/123456789/211916 https://doi.org/10.3842/SIGMA.2023.027 The Yamabe invariant is a diffeomorphism invariant of smooth compact manifolds that arises from the normalized Einstein-Hilbert functional. This article highlights the manner in which one compelling open problem regarding the Yamabe invariant appears to be closely tied to static potentials and the first eigenvalue of the Laplacian. It is a pleasure to dedicate this article to Jean-Pierre Bourguignon on the occasion of his seventy-fifth birthday. This research was supported in part by NSF grant DMS–2203572. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces Article published earlier |
| spellingShingle | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces LeBrun, Claude |
| title | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces |
| title_full | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces |
| title_fullStr | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces |
| title_full_unstemmed | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces |
| title_short | Yamabe Invariants, Homogeneous Spaces, and Rational Complex Surfaces |
| title_sort | yamabe invariants, homogeneous spaces, and rational complex surfaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211916 |
| work_keys_str_mv | AT lebrunclaude yamabeinvariantshomogeneousspacesandrationalcomplexsurfaces |