Lieb-Thirring inequalities on some manifolds

Published 13 Apr 2011 in math.SP and math.AP | (1104.2488v1)

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

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