Rank one symmetric spaces and Rigidity

1995/08/14 by Inkang Kim, Инканг Ким, Kim, Inkang
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9508007

21 pages

arxiv created 1995/08/14 · openalex publication_date 1995/08/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we show that if the limit set is not small ,marked length spectrum determines geometric structure of rank one locally symmetric manifolds.

Citations

• Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un

Related

• Rigidity of compact rank one symmetric spaces
• Minimal entropy rigidity for lattices in products of rank one symmetric spaces
• Rigidity of Rank-One Factors of Compact Symmetric Spaces
• The Higher Rank Rigidity Theorem for Manifolds With No Focal Points
• Fried's theorem for boundary geometries of rank one symmetric spaces