Satake-Furstenberg compactifications, the moment map and λ<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub>

DOI10.1353/ajm.2013.0006zbMath1261.53050arXiv1003.2725OpenAlexW2051194315MaRDI QIDQ4907957

Leonardo Biliotti, Alessandro Ghigi

Publication date: 27 February 2013

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2725

zbMATH Keywords

eigenvalueflag manifoldinvariant measureLaplace-Beltrami operatormoment mapBourguignon-Li-Yau mapFürstenberg compactificationSatake-Fürstenberg compactification

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35) Spectral theory; eigenvalue problems on manifolds (58C40)

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Invariant convex sets in polar representations ⋮ Convexity theorems for the gradient map on probability measures ⋮ Stability with respect to actions of real reductive Lie groups ⋮ Toric aspects of the first eigenvalue ⋮ Coadjoint orbitopes ⋮ On the first eigenvalue of invariant Kähler metrics ⋮ Stability of measures on Kähler manifolds ⋮ Remarks on the abelian convexity theorem ⋮ Bounds for Laplace eigenvalues of Kähler metrics ⋮ Convexity properties of gradient maps associated to real reductive representations ⋮ Meromorphic limits of automorphisms ⋮ An extremal eigenvalue problem in Kähler geometry ⋮ COMPACT ORBITS OF PARABOLIC SUBGROUPS

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