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math.DG2022
The Cayley hyperbolic space and volume entropy rigidity
Yuping Ruan
Let be a Riemannian manifold with dimension greater or equal to which admits a complete, finite-volume Riemannian metric locally isometric to a rank-1 symmetric space…
math.DG2022
Filling volume minimality and boundary rigidity of metrics close to a negatively curved symmetric metric
Yuping Ruan
This paper generalizes D. Burago and S. Ivanov's work on filling volume minimality and boundary rigidity of almost real hyperbolic metrics. We show that regions with metrics close…