Rigidity of ideal symmetric sets

Stephan Stadler

Rigidity of ideal symmetric sets

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arxiv 2405.16238 v1 pith:4KSHLU3I submitted 2024-05-25 math.MG math.DG

Stephan Stadler This is my paper · ORCID

classification math.MGmath.DG

keywords setsspacessymmetricantipodalbuildingscharacterizeeuclideangeometries

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We characterize higher rank model geometries -- Riemannian symmetric spaces, Euclidean buildings and products -- among Hadamard spaces by using antipodal sets at infinity.

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Smoothness of submetries
math.DG 2024-11 conditional novelty 8.0 of 10

A Riemannian submersion from a compact non-negatively curved manifold is necessarily smooth, resolving a conjecture of Berestovskii-Guijarro.

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