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math.DG2012
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…
math.DG2011
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.
math.DG2009
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.