Interior derivative estimates for the K\"ahler-Ricci flow
Morgan Sherman, Ben Weinkove
TL;DR
This paper presents a maximum principle-based proof of interior derivative estimates for the Kähler-Ricci flow, assuming local bounds on the metric, contributing to the understanding of geometric evolution equations.
Contribution
It provides a new proof technique for interior derivative estimates in the Kähler-Ricci flow using maximum principles under local metric bounds.
Findings
Established interior derivative estimates for the Kähler-Ricci flow.
Provided a maximum principle proof approach.
Assumed local uniform bounds on the metric.
Abstract
We give a maximum principle proof of interior derivative estimates for the K\"ahler-Ricci flow, assuming local uniform bounds on the metric.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Differential Geometry Research