Vafa-Witten Estimates for Compact Symmetric Spaces
arXiv:math/0605269 · doi:10.1007/s00220-007-0188-4
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.
LaTeX, 11 pages. V2: Rigidity statement added, minor changes. To appear