Lieb-Thirring inequalities for the Dirac operator on spheres
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914320664756224 |
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| author | Kähler, Uwe Kowacs, André Pedroso Ruzhansky, Michael |
| author_facet | Kähler, Uwe Kowacs, André Pedroso Ruzhansky, Michael |
| contents | In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the $n-$sphere. We then apply these results in order to improve the known upper bounds on the classical Lieb-Thirring constant on the $n$-sphere for $n\geq 5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00725 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lieb-Thirring inequalities for the Dirac operator on spheres Kähler, Uwe Kowacs, André Pedroso Ruzhansky, Michael Spectral Theory Primary: 35P15. Secondary: 26D10 In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the $n-$sphere. We then apply these results in order to improve the known upper bounds on the classical Lieb-Thirring constant on the $n$-sphere for $n\geq 5$. |
| title | Lieb-Thirring inequalities for the Dirac operator on spheres |
| topic | Spectral Theory Primary: 35P15. Secondary: 26D10 |
| url | https://arxiv.org/abs/2602.00725 |