Vafa-Witten Estimates for Compact Symmetric Spaces
Differential Geometry
2007-06-27 v2
Abstract
We give an optimal upper bound for the first eigenvalue of the untwisted Dirac operator on a compact symmetric space G/H with rk G-rk H\le 1 with respect to arbitrary Riemannian metrics. We also prove a rigidity statement.
Cite
@article{arxiv.math/0605269,
title = {Vafa-Witten Estimates for Compact Symmetric Spaces},
author = {Sebastian Goette},
journal= {arXiv preprint arXiv:math/0605269},
year = {2007}
}
Comments
LaTeX, 11 pages. V2: Rigidity statement added, minor changes. To appear