4 papers
Twisted submersions in nonnegative sectional curvature
Pablo Angulo-Ardoy, Luis Guijarro, Gerard Walschap
B. Wilking introduced the dual foliation associated to a metric foliation in a Riemannian manifold with nonnegative sectional curvature, and proved that when the curvature is stric…
The curvature operator at the soul
Luis Guijarro, Gerard Walschap
We prove two splitting theorems, one topological, the other metric, for open manifolds with nonnegative sectional curvature.
Submetries vs. submersions
Luis Guijarro, Gerard Walschap
We study submetries between Alexandrov spaces and show how some of the usual features of Riemannian submersions fail due to the lack of smoothness.
Parallel Connections Over Symmetric Spaces
Luis Guijarro, Lorenzo Sadun, Gerard Walschap
Let M be a simply connected Riemannian symmetric space, with at most one flat direction. We show that every Riemannian (or unitary) vector bundle with parallel curvature over M is…