Numerical Approximations to Extremal Toric Kähler Metrics with Arbitrary Kähler Class

DOI10.1017/S0013091516000444zbMath1381.53080arXiv1407.1272OpenAlexW2964101431MaRDI QIDQ4588351

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Publication date: 26 October 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1272

zbMATH Keywords

linear stabilityRicci flowEinstein metricextremal Kähler metric

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Uses Software

• Fermat.m

Cites Work

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• Energy functionals for Calabi-Yau metrics
• Numerical Kähler-Einstein metric on the third del Pezzo
• Interior estimates for solutions of Abreu equation
• On conformally Kähler, Einstein manifolds
• Ricci iterations on Kähler classes
• Numerical approximations to extremal metrics on toric surfaces
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• Einstein Metrics on Complex Surfaces
• Numerical Ricci-flat metrics on K3

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