Greatest lower bounds on Ricci curvature for toric Fano manifolds
Chi Li
TL;DR
This paper determines the maximum lower bounds on Ricci curvature for all toric Fano manifolds, extending previous work and providing a comprehensive understanding of their curvature properties.
Contribution
It explicitly computes the greatest lower bounds on Ricci curvature for all toric Fano manifolds, building on Wang-Zhu's foundational work.
Findings
Explicit formulas for Ricci curvature bounds
Complete classification for toric Fano manifolds
Extension of previous theoretical results
Abstract
In this short note, based on the work of Wang-Zhu, we determine the greatest lower bounds on Ricci curvature for all toric Fano manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory