Vafa-Witten Estimates for Compact Symmetric Spaces

Details Vafa-Witten Estimates for Compact Symmetric Spaces Vafa-Witten Estimates for Compact Symmetric Spaces

2006-05-10

arxiv.org/abs/math/0605269v2

Comm. Math. Phys. 271 (2007), 839-851

Mathematics

Differential Geometry

LaTeX, 11 pages. V2: Rigidity statement added, minor changes. To appear

Scientific paper

10.1007/s00220-007-0188-4

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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