Greatest lower bounds on Ricci curvature of homogeneous toric bundles
Yi Yao
TL;DR
This paper derives a formula for the greatest lower bound on Ricci curvature for Fano homogeneous toric bundles and provides criteria for the ampleness of certain line bundles over these structures.
Contribution
It introduces a new formula for Ricci curvature bounds and criteria for line bundle ampleness in the context of homogeneous toric bundles.
Findings
Formula for the greatest lower bound on Ricci curvature
Criteria for ampleness of line bundles
Application to Fano homogeneous toric bundles
Abstract
For Fano homogeneous toric bundles, we obtain a formula of the greatest lower bound on Ricci curvature. We also give a criteria for the ampleness of a kind of line bundles over general homogeneous toric bundles.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows