Vafa-Witten Estimates for Compact Symmetric Spaces

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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

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Differential Geometry, 53C27; 53C35; 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/132486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605269
 http://arxiv.org/abs/math/0605269
 Comm. Math. Phys. 271 (2007), 839-851
 doi:10.1007/s00220-007-0188-4

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arXiv