6 papers
Harmonic maps to Hadamard spaces and a universal higher Teichmüller space
J. Maxwell Riestenberg, Peter Smillie
We give a sufficient criterion, which we call stability, for a coarse Lipschitz map from a complete manifold with Ricci curvature bounded below to a proper Hadamard space $…
Transverse Spheres in Flag Manifolds
Parker Evans, J. Maxwell Riestenberg
For some partial flag manifolds of semisimple real Lie groups, including many full flag manifolds, transverse circles are known to be locally maximally transverse. We complete the…
Concave Foliated Flag Structures and the Hitchin Component
Alexander Nolte, J. Maxwell Riestenberg
We give a geometric characterization of flag geometries associated to Hitchin representations in . Our characterization is based on distinguished invariant…
Dirichlet domains for Anosov subgroups
Colin Davalo, J. Maxwell Riestenberg
We introduce a sufficient condition for a finitely generated subgroup of a semisimple Lie group to admit finite-sided Dirichlet domains for polyhedral Finsler metrics on th…
Normed Spaces for Graph Embedding
Diaaeldin Taha, Wei Zhao, J. Maxwell Riestenberg +1
Theoretical results from discrete geometry suggest that normed spaces can abstractly embed finite metric spaces with surprisingly low theoretical bounds on distortion in low dimens…
A quantified local-to-global principle for Morse quasigeodesics
J. Maxwell Riestenberg
In arXiv:1403.7671, Kapovich, Leeb and Porti gave several new characterizations of Anosov representations , including one where geodesics in the word hyperbolic group m…