In this note we prove the stability of the Gieseker point of an irre- ducible 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 Kahler metric on a compact Hermitian symmetric spaces of ABCD–type.
Homogeneous bundles and the first eigenvalue of symmetric spaces / Biliotti, Leonardo; GHIGI Alessandro, Callisto. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - 58:(2008), pp. 2315-2331.
Homogeneous bundles and the first eigenvalue of symmetric spaces
BILIOTTI, Leonardo;
2008-01-01
Abstract
In this note we prove the stability of the Gieseker point of an irre- ducible 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 Kahler metric on a compact Hermitian symmetric spaces of ABCD–type.File in questo prodotto:
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