Kähler geometry of horosymmetric varieties, and application to Mabuchi's K-energy functional
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Publication:2187304
DOI10.1515/crelle-2018-0040zbMath1446.32015arXiv1712.00221OpenAlexW3104448423MaRDI QIDQ2187304
Publication date: 2 June 2020
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.00221
Mabuchi functionalconstant scalar curvature Kähler metricsGuillemin-Abreu-Donaldson geometryhorosymmetric varietiesMonge-Ampère volume form
Related Items (10)
\(G\)-Sasaki manifolds and K-energy ⋮ Examples of K-unstable Fano manifolds ⋮ Spherical cones: classification and a volume minimization principle ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds ⋮ Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one ⋮ Ricci flat Kähler metrics on rank two complex symmetric spaces ⋮ Kähler–Einstein Metrics on Toric Manifolds and G-manifolds ⋮ Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds ⋮ Real structures on symmetric spaces
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