arXiv subjects

Rafael F. Leao

Publications and source records attributed to Rafael F. Leao.

2 recordsLinked to original sources

arXiv2008

On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds

We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Dolbeault Laplacian twisted by Hermitian-Einstein connections on vector bundles of negative degree over compact Kähler manifolds.

math.DG↗

arXiv2007

Survey on eigenvalues of the Dirac operator and geometric structures

We give a survey of results relating the restricted holonomy of a Riemannian spin manifold with lower bounds on the spectrum of its Dirac operator, giving a new proof of a result originally due to Kirchberg.

math.DG↗