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arXiv · 2602.00725

Lieb-Thirring inequalities for the Dirac operator on spheres

Uwe Kähler·André Pedroso Kowacs·Michael Ruzhansky
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Abstract

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 $n\geq 5$.

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Uwe Kähler, André Pedroso Kowacs, Michael Ruzhansky. 2026-01-31. Lieb-Thirring inequalities for the Dirac operator on spheres. https://arxiv.org/abs/2602.00725

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