Harmonic forms on ALE Ricci-flat 4-manifolds
Gao Chen, Hao Yan
TL;DR
This paper investigates harmonic functions and 1-forms on ALE Ricci-flat 4-manifolds, providing detailed expansions that enhance understanding of their geometric and analytical properties.
Contribution
It offers explicit computations of harmonic forms and functions on ALE Ricci-flat 4-manifolds, a novel contribution to geometric analysis in this context.
Findings
Explicit expansions of harmonic functions
Explicit expansions of harmonic 1-forms
Enhanced understanding of geometric structures
Abstract
In this paper, we compute the expansion of some harmonic functions and 1-forms on ALE Ricci-flat 4-manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology