Strongly nonnegative curvature

math.DG

/ Authors

/ Abstract

We prove that all currently known examples of manifolds with nonnegative sectional curvature satisfy a stronger condition: their curvature operator can be modified with a 4-form to become positive-semidefinite.

Strongly nonnegative curvature

math.DG

/ Authors

Renato G. Bettiol, Ricardo A. E. Mendes

/ Abstract

We prove that all currently known examples of manifolds with nonnegative sectional curvature satisfy a stronger condition: their curvature operator can be modified with a 4-form to become positive-semidefinite.