On the gradient estimate of Cheng and Yau
Ovidiu Munteanu
TL;DR
This paper enhances the local gradient estimate originally proposed by Cheng and Yau, specifically addressing cases where Ricci curvature has a negative lower bound, thereby broadening its applicability.
Contribution
It provides an improved gradient estimate for Ricci curvature with negative lower bounds, extending the original Cheng and Yau estimate.
Findings
Enhanced gradient estimate for negative Ricci curvature
Broader applicability of Cheng and Yau's estimate
Potential implications for geometric analysis
Abstract
We improve the well known local gradient estimate of Cheng and Yau in the case when Ricci curvature has a negative lower bound.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations