Curvature restrictions on a manifold with a flat Higgs bundle

Abstract

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

add an appendix

References in corpus (1)

• Curvature of higher direct image sheaves and its application on negative-curvature criterion for the Weil-Petersson metric

Cited by in corpus (1)

• A flat Higgs bundle structure on the complexified Kähler cone