1303.2790 (Jean Dolbeault et al.)

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

Jean Dolbeault, Maria J. Esteban, Ari Laptev, Michael Loss

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.

View original: http://arxiv.org/abs/1303.2790