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Totally geodesic submanifolds of the homogeneous nearly Kähler 6-manifolds and their G2-cones
Juan Manuel Lorenzo-Naveiro, Alberto Rodríguez-Vázquez
In this article we classify totally geodesic submanifolds of homogeneous nearly Kähler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniqu…
Positive curvature on products of spheres and their quotients via intermediate fatness
Jason DeVito, Miguel Domínguez-Vázquez, David González-Álvaro +1
We construct metrics of positive intermediate Ricci curvature, , on closed manifolds of dimensions 10, 11, 12, 13 and 14, including $\mathbb{S}^6\tim…
Totally geodesic submanifolds and polar actions on Stiefel manifolds
Claudio Gorodski, Andreas Kollross, Alberto Rodríguez-Vázquez
We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove…