Differential inequalities on homogeneous toric bundles
An-Min Li, Li Sheng, and Guosong Zhao
TL;DR
This paper investigates a generalized Abreu Equation within n-dimensional polytopes, establishing differential inequalities for homogeneous toric bundles to advance understanding in geometric analysis.
Contribution
It introduces new differential inequalities specific to homogeneous toric bundles, extending previous work on toric geometry and Abreu equations.
Findings
Established key differential inequalities for homogeneous toric bundles
Extended the theory of Abreu equations to more general settings
Provided tools for analyzing geometric structures in toric bundles
Abstract
We study a generalized Abreu Equation in -dimensional polytopes and prove some differential inequalities for homogeneous toric bundles.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory