Differential inequalities on homogeneous toric bundles

DOI10.1007/s00022-017-0372-4zbMath1377.53093arXiv1603.03187OpenAlexW2963037855WikidataQ115389983 ScholiaQ115389983MaRDI QIDQ2410154

Li Sheng, An-Min Li, Guo-Song Zhao

Publication date: 17 October 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03187

zbMATH Keywords

differential inequalitiesgeneralized Abreu equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Nonlinear elliptic equations (35J60)

Related Items (4)

Prescribed scalar curvatures for homogeneous toric bundles ⋮ Extremal metrics on toric manifolds and homogeneous toric bundles ⋮ A Yau-Tian-Donaldson correspondence on a class of toric fibrations ⋮ Interior regularity for the generalized Abreu equation

Cites Work

• Extremal metrics on toric surfaces: a continuity method
• Constant scalar curvature metrics on toric surfaces
• Extremal metrics on toric surfaces
• Affine techniques on extremal metrics on toric surfaces
• Scalar curvature and stability of toric varieties.
• Uniform K-stability for extremal metrics on toric varieties
• Interior estimates for solutions of Abreu equation
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• Kähler-Ricci solitons on homogeneous toric bundles

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