Eigenvalue estimates via H\"{o}mander's $L^2$-method
Differential Geometry
2019-07-16 v2
Abstract
Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using Hormander's weighted -technique. Lower bounds in terms of the volume of the underlying manifolds are also deduced from the sharp Sobolev inequality due to Li and Zhu(\cite{LZ}).
Cite
@article{arxiv.1907.03214,
title = {Eigenvalue estimates via H\"{o}mander's $L^2$-method},
author = {Qingchun Ji and Li Lin},
journal= {arXiv preprint arXiv:1907.03214},
year = {2019}
}