Ricardo A. E. Mendes

Strongly nonnegative curvature

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.

Flag manifolds with strongly positive curvature

We obtain a complete description of the moduli spaces of homogeneous metrics with strongly positive curvature on the Wallach flag manifolds

Strongly positive curvature

W^6

A slice theorem for singular Riemannian foliations, with applications

W6,

Extending tensors on polar manifolds

W^{12}

Lifting tensors from orbifold quotients

W12 and