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math.DG2015★ 4 cited
Strongly nonnegative curvature
Renato G. Bettiol, Ricardo A. E. Mendes
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…
math.DG2015
A Slice Theorem for singular Riemannian foliations, with applications
Ricardo Mendes, Marco Radeschi
We prove a Slice Theorem around closed leaves in a singular Riemannian foliation, and we use it to study the -algebra of smooth basic functions, generalizing to the inhom…