Homogeneous bundles and the first eigenvalue of symmetric spaces

Details Homogeneous bundles and the first eigenvalue of symmetric spaces Homogeneous bundles and the first eigenvalue of symmetric spaces

2007-09-13

arxiv.org/abs/0709.2104v2

Mathematics

Differential Geometry

Some corrections suggested by the referee. To appear on Annales de l'Institut Fourier

Scientific paper

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.

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