Stable bundles and the first eigenvalue of the Laplacian

DOI10.1007/BF02922088zbMath1128.58013arXivmath/0511670OpenAlexW2040153747WikidataQ125912169 ScholiaQ125912169MaRDI QIDQ2459940

Claudio Arezzo, Alessandro Ghigi, Andrea Loi

Publication date: 9 November 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511670

zbMATH Keywords

spectrum of the Laplacianstable vector bundles, Kähler manifold

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

Convexity theorems for the gradient map on probability measures ⋮ Stability with respect to actions of real reductive Lie groups ⋮ Kähler-Ricci flow on rational homogeneous varieties ⋮ Eigenvalues of the Laplacian and extrinsic geometry ⋮ Toric aspects of the first eigenvalue ⋮ Stability of measures on Kähler manifolds ⋮ Homogeneous bundles and the first eigenvalue of symmetric spaces ⋮ Bounds for Laplace eigenvalues of Kähler metrics ⋮ An extremal eigenvalue problem in Kähler geometry

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