On the extension of Calabi flow on toric varieties

DOI10.1007/s10455-010-9242-0zbMath1220.53081arXiv1101.0638OpenAlexW1986612494WikidataQ125923019 ScholiaQ125923019MaRDI QIDQ540460

Hongnian Huang

Publication date: 3 June 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0638

zbMATH Keywords

scalar curvatureKähler metricconstant scalar curvature Kähler metricpolarized toric varietysoliton solutions of the Calabi flow

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Other special differential geometries (53A40)

Related Items (6)

On the extension and smoothing of the Calabi flow on complex tori ⋮ The long time behavior of fourth order curvature flows ⋮ The global existence and convergence of the Calabi flow on \(\mathbb C^{n}/\mathbb Z^{n}+i \mathbb Z^{n}\) ⋮ Toric surfaces, \(K\)-stability and Calabi flow ⋮ The interior regularity of the Calabi flow on a toric surface ⋮ Convergence of the Calabi flow on toric varieties and related Kähler manifolds

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• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS

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