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Bibliographic Details
Main Authors: Dai, Xian, Eptaminitakis, Nikolas
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2301.05289
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Table of Contents:
  • We prove that the Blaschke locus has the structure of a finite dimensional smooth manifold away from the Teichm{ü}ller space and study its Riemannian manifold structure with respect to the covariance metric introduced by Guillarmou, Knieper and Lefeuvre in \cite{GeodesicStretch}. We also identify some families of geodesics in the Blaschke locus arising from Hitchin representations for orbifolds and show that they have infinite length with respect to the covariance metric.