Some results on the Dirac-Einstein equations
In this note we introduce the Dirac-Einstein equations on a spin manifold and we review some recent results, in particular: the compactness of the variational solutions, the classification of the Palais-Smale sequences for the related conformal problem, and finally some existence results.
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| Format: | Article |
| Language: | English |
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University of Bologna
2024-01-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
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| Online Access: | https://mathematicalanalysis.unibo.it/article/view/18867 |
| _version_ | 1797359659336597504 |
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| author | Vittorio Martino |
| author_facet | Vittorio Martino |
| author_sort | Vittorio Martino |
| collection | DOAJ |
| description | In this note we introduce the Dirac-Einstein equations on a spin manifold and we review some recent results, in particular: the compactness of the variational solutions, the classification of the Palais-Smale sequences for the related conformal problem, and finally some existence results. |
| first_indexed | 2024-03-08T15:26:55Z |
| format | Article |
| id | doaj.art-e6b61e1b890e4574ad8ef5f161a8bec7 |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-03-08T15:26:55Z |
| publishDate | 2024-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-e6b61e1b890e4574ad8ef5f161a8bec72024-01-10T08:48:10ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292024-01-0114222923910.6092/issn.2240-2829/1886717229Some results on the Dirac-Einstein equationsVittorio Martino0Dipartimento di Matematica, Università di BolognaIn this note we introduce the Dirac-Einstein equations on a spin manifold and we review some recent results, in particular: the compactness of the variational solutions, the classification of the Palais-Smale sequences for the related conformal problem, and finally some existence results.https://mathematicalanalysis.unibo.it/article/view/18867spin manifoldsconformal geometry |
| spellingShingle | Vittorio Martino Some results on the Dirac-Einstein equations Bruno Pini Mathematical Analysis Seminar spin manifolds conformal geometry |
| title | Some results on the Dirac-Einstein equations |
| title_full | Some results on the Dirac-Einstein equations |
| title_fullStr | Some results on the Dirac-Einstein equations |
| title_full_unstemmed | Some results on the Dirac-Einstein equations |
| title_short | Some results on the Dirac-Einstein equations |
| title_sort | some results on the dirac einstein equations |
| topic | spin manifolds conformal geometry |
| url | https://mathematicalanalysis.unibo.it/article/view/18867 |
| work_keys_str_mv | AT vittoriomartino someresultsonthediraceinsteinequations |