Compact 4-manifolds with harmonic Weyl tensor and nonnegative biorthogonal curvature
Ezio Araujo Costa
TL;DR
This paper classifies compact 4-manifolds that have harmonic Weyl tensor and nonnegative biorthogonal curvature, providing a clearer understanding of their geometric structure.
Contribution
It offers a classification of such 4-manifolds, advancing the understanding of their geometric and curvature properties.
Findings
Classification of compact 4-manifolds with harmonic Weyl tensor
Characterization under nonnegative biorthogonal curvature
Enhanced understanding of geometric structures in 4D
Abstract
In this note we classify compact 4-manifolds with harmonic Weyl tensor and nonnegative biorthogonal curvature
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research