Conjugate radius, volume comparison and rigidity
Zhiyao Xiong, Xiaokui Yang
TL;DR
This paper establishes new estimates and rigidity results for Kähler manifolds based on conjugate radius and volume comparisons under different curvature conditions.
Contribution
It introduces novel conjugate radius estimates, volume comparison theorems, and rigidity results specifically for Kähler manifolds with various curvature assumptions.
Findings
Proved conjugate radius estimates for Kähler manifolds.
Established volume comparison theorems under curvature conditions.
Derived rigidity theorems indicating geometric uniqueness.
Abstract
In this paper, we prove conjugate radius estimate, volume comparison and rigidity theorems for K\"ahler manifolds with various curvature conditions.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques