arXiv Analytics

Sign in

arXiv:0709.2104 [math.DG]AbstractReferencesReviewsResources

Homogeneous bundles and the first eigenvalue of symmetric spaces

Leonardo Biliotti, Alessandro Ghigi

Published 2007-09-13, updated 2008-03-16Version 2

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.

Comments: Some corrections suggested by the referee. To appear on Annales de l'Institut Fourier
Categories: math.DG, math.AG
Related articles: Most relevant | Search more
arXiv:math/0511670 [math.DG] (Published 2005-11-28)
Stable bundles and the first eigenvalue of the Laplacian
arXiv:1607.08306 [math.DG] (Published 2016-07-28)
Partial result of Yau's Conjecture of the first eigenvalue in unit sphere $\mathbb{S}^{n+1}(1)$
arXiv:1005.3345 [math.DG] (Published 2010-05-19, updated 2010-07-26)
On the Unboundedness of the First Eigenvalue of the Laplacian for G-Invariant Metrics

Links

Toolbox