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.

Biliotti, L., Ghigi, A. (2008). Homogeneous bundles and the first eigenvalue of symmetric spaces. ANNALES DE L'INSTITUT FOURIER, 58(7), 2315-2331 [10.5802/aif.2415].

Homogeneous bundles and the first eigenvalue of symmetric spaces

GHIGI, ALESSANDRO CALLISTO
2008

Abstract

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.
Articolo in rivista - Articolo scientifico
Homogeneous bundles; symmetric spaces; eigenvalues of the Laplacian
English
2008
58
7
2315
2331
none
Biliotti, L., Ghigi, A. (2008). Homogeneous bundles and the first eigenvalue of symmetric spaces. ANNALES DE L'INSTITUT FOURIER, 58(7), 2315-2331 [10.5802/aif.2415].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/617
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