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Vafa-Witten Estimates for Compact Symmetric Spaces

Sebastian Goette
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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.

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Sebastian Goette. 2006-08-31. Vafa-Witten Estimates for Compact Symmetric Spaces. https://doi.org/10.1007/s00220-007-0188-4

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