Homogeneous bundles and the first eigenvalue of symmetric spaces

DOI10.5802/aif.2415zbMath1161.53064arXiv0709.2104OpenAlexW2117402578MaRDI QIDQ999682

Leonardo Biliotti, Alessandro Ghigi

Publication date: 10 February 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2104

zbMATH Keywords

spectrum of the Laplacianhomogeneous bundlecompact Hermitian symmetric spaceGieseker point

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Homogeneous complex manifolds (32M10)

Related Items (8)

BALANCED METRICS ON HOMOGENEOUS VECTOR BUNDLES ⋮ Convexity theorems for the gradient map on probability measures ⋮ Stability with respect to actions of real reductive Lie groups ⋮ Uniqueness of balanced metrics on holomorphic vector bundles ⋮ Kähler-Ricci flow on rational homogeneous varieties ⋮ Stability of measures on Kähler manifolds ⋮ Remarks on the abelian convexity theorem ⋮ Convexity properties of gradient maps associated to real reductive representations

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