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.File in questo prodotto:
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