Manifolds with A Lower Ricci Curvature Bound
Guofang Wei
TL;DR
This survey reviews the geometric and topological properties of manifolds constrained by a lower Ricci curvature bound, highlighting recent advances and open problems in the field.
Contribution
It provides a comprehensive overview of the current understanding and key results related to manifolds with lower Ricci curvature bounds.
Findings
Characterization of manifold structures under Ricci bounds
Summary of splitting theorems and volume comparison results
Discussion of open problems and future directions
Abstract
This paper is a survey on the structure of manifolds with a lower Ricci curvature bound.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds