Homogeneous bundles and the first eigenvalue of symmetric spaces

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We prove the stability of the Gieseker point of an irreducible homogeneous bundle over a rational homogeneous space. As an application we get a sharp upper estimate for the first eigenvalue of the Laplacian of an arbitrary Kaehler metric on a compact Hermitian symmetric spaces of ABCD--type.
Some corrections suggested by the referee. To appear on Annales de l'Institut Fourier

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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/156848

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2104
 http://arxiv.org/abs/0709.2104

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arXiv