5 papers
On the embeddability of the homogeneous Ricci flow and its collapses
Mauro Patrão, Lucas Seco, Llohann D. Sperança
This article grew out of the urge to realize explicit examples of solutions for the Ricci flow as families of isometrically embedded submanifolds, together with its Gromov-Hausdorf…
On the completeness of dual foliations on nonnegatively curved symmetric spaces
Renato J. M. e Silva, Llohann D. Sperança
We prove Wilking's Conjecture about the completeness of dual leaves for the case of Riemannian foliations on nonnegatively curved symmetric spaces. Moreover, we conclude that such…
Metric Foliations on the Euclidean Space
Llohann D. Sperança, Steffen Weil
We complete a minor gap in Gromoll and Walschap classification of metric fibrations from the Euclidean space, thus completing the classification of Riemannian foliations on Euclide…
An intrinsic curvature condition for submersions over Riemannian manifolds
Llohann D. Sperança
Let be a submersion equipped with a horizontal connection over a Riemannian manifold . We present an intrinsic curvature condition…
Flat Sections and Non-negative Curvature in Pullback Bundles
C. Durán, L. D. Sperança
We give a geometric obstruction to the non-negativity of the sectional curvature in the total spaces of certain Riemannian submersions with totally geodesic fibers; applications of…