Rigidity of flat holonomies
| Title: | Rigidity of flat holonomies |
|---|---|
| Authors: | BESSON, GÉRARD; COURTOIS, GILLES; HERSONSKY, SA’AR |
| Contributors: | Simons Foundation |
| Source: | Ergodic Theory and Dynamical Systems ; volume 45, issue 4, page 1048-1077 ; ISSN 0143-3857 1469-4417 |
| Publisher Information: | Cambridge University Press (CUP) |
| Publication Year: | 2024 |
| Description: | We prove that the existence of one horosphere in the universal cover of a closed Riemannian manifold of dimension $n \geq 3$ with strongly $1/4$ -pinched or relatively $1/2$ -pinched sectional curvature, on which the stable holonomy along one horosphere coincides with the Riemannian parallel transport, implies that the manifold is homothetic to a real hyperbolic manifold. |
| Document Type: | article in journal/newspaper |
| Language: | English |
| DOI: | 10.1017/etds.2024.58 |
| Availability: | https://doi.org/10.1017/etds.2024.58; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0143385724000580 |
| Rights: | https://creativecommons.org/licenses/by/4.0 |
| Accession Number: | edsbas.EA5B502D |
| Database: | BASE |