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math.DG2026
Submanifolds of higher rank with curvature normals of constant length
Santiago Castañeda-Montoya, Guillermo Lobos, Carlos Olmos
We study the local geometry of Euclidean submanifolds of rank at least two whose curvature normals with respect to the flat part of the normal bundle have constant length, equivale…
math.DG2026
The index of symmetry and homogeneous fibrations
Ángel Cidre-Díaz, Carlos E. Olmos, Alberto Rodríguez-Vázquez
We develop new tools to compute the index of symmetry in the context of homogeneous fibrations. As a consequence of our results, we determine the index of symmetry of every homogen…