Refined Kato inequalities for harmonic fields on Kahler manifolds
Daniel Cibotaru, Peng Zhu
TL;DR
This paper establishes a refined Kato inequality for harmonic differential forms on Kahler manifolds, enhancing understanding of their geometric properties.
Contribution
It introduces a new refined Kato inequality specifically for harmonic forms on Kahler manifolds, extending previous inequalities.
Findings
Proved a refined Kato inequality for harmonic forms on Kahler manifolds
Improved bounds for differential forms in complex geometry
Enhanced tools for studying harmonic fields in Kahler geometry
Abstract
We prove a refined Kato inequality for closed and coclosed differential forms on a Kahler manifold.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Nonlinear Partial Differential Equations