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arXiv · 1303.2790

Spectral properties of Schr\"odinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates

Jean Dolbeault·Maria J. Esteban·Ari Laptev·Michael Loss
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Abstract

This note is devoted to optimal spectral estimates for Schr\"odinger operators on compact connected Riemannian manifolds without boundary. These estimates are based on the use of appropriate interpolation inequalities and on some recent rigidity results for nonlinear elliptic equations on those manifolds.

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Jean Dolbeault, Maria J. Esteban, Ari Laptev, Michael Loss. 2013-03-12. Spectral properties of Schr\"odinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. https://arxiv.org/abs/1303.2790

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