Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2013

Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates

Résumé

This note is devoted to optimal spectral estimates for Schrödinger 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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Dates et versions

hal-00799252 , version 1 (12-03-2013)
hal-00799252 , version 2 (23-07-2013)

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Jean Dolbeault, Maria J. Esteban, Ari Laptev, Michael Loss. Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. 2013. ⟨hal-00799252v1⟩
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