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math.DG2026
The index of symmetry and homogeneous fibrations
Ãngel Cidre-DÃaz, Carlos E. Olmos, Alberto RodrÃguez-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…
math.DG2025
Normal Holonomy of Complex Hyperbolic Submanifolds
Santiago Castañeda Montoya, Carlos E. Olmos
We prove that the restricted normal holonomy group of a Kähler submanifold of the complex hyperbolic space is always transitive, provided the index of relative n…
math.DG2024
Complete cohomogeneity one hypersurfaces of
Felippe Guimarães, Fernando Manfio, Carlos E. Olmos
We study isometric immersions into hyperbolic space of dimension of a complete Riemannian manifold of dimension on which a compact c…