Lieb-Thirring inequalities on some manifolds

Details Lieb-Thirring inequalities on some manifolds Lieb-Thirring inequalities on some manifolds

2011-04-13

arxiv.org/abs/1104.2488v1

Mathematics

Spectral Theory

Scientific paper

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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