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arXiv · 1104.2488

Lieb-Thirring inequalities on some manifolds

Alexei A. Ilyin
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Abstract

We prove Lieb-Thirring inequalities with improved constants on the two-dimensional sphere and the two-dimensional torus. In the one-dimensional periodic case we obtain a simultaneous bound for the negative trace and the number of negative eigenvalues.

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Alexei A. Ilyin. 2011-04-13. Lieb-Thirring inequalities on some manifolds. https://arxiv.org/abs/1104.2488

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