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math.DG2024
Rigidity of compact rank one symmetric spaces
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider rigidity properties of compact symmetric spaces with metric of rank one. Suppose is another Riemannian metric on with sectional curvature bounded…
math.DG2018
Quasi-isometric embeddings of symmetric spaces and lattices: reducible case
Thang Nguyen
We study quasi-isometric embeddings of symmetric spaces and non-uniform irreducible lattices in semisimple higher rank Lie groups. We show that any quasi-isometric embedding betwee…
math.DG2017★ 2 cited
Hyperbolic rank rigidity for manifolds of -pinched negative curvature
Chris Connell, Thang Nguyen, Ralf Spatzier
A Riemannian manifold has higher hyperbolic rank if every geodesic has a perpendicular Jacobi field making sectional curvature -1 with the geodesic. If in addition, the section…