Curvature restrictions on a manifold with a flat Higgs bundle

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Xu Wang This is my paper · ORCID

classification math.DGmath.AGmath.CV

keywords bundlecurvatureflathiggsmanifoldadmissiblepropertyprove

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We shall prove a semi-negative curvature property for a manifold with a flat admissible Higgs bundle.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Curvature of the base manifold of a Monge-Amp\`ere fibration and its existence
math.AG 2019-08 conditional novelty 6.0 of 10

A Poisson-Kähler fibration has a canonical Kähler metric on its base whose holomorphic bisectional curvature is non-positive and whose holomorphic sectional, Ricci, and scalar curvatures are bounded above by a negativ...