On minimal homogeneous submanifolds of the hyperbolic space up to codimension two

2024/06/18 by Felippe Guimarães, Guimarães, Felippe, Joeri Van der Veken +1
Mathematics · #53C30 #53C40 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2406.12664

openalex publication_date 2024/06/18 · openalex created_date 2024/06/20 · openalex updated_date 2026/07/28

Abstract

We show that a minimal homogeneous submanifold Mⁿ, n≥ 5, of a hyperbolic space up to codimension two is totally geodesic.

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