The Cayley hyperbolic space and volume entropy rigidity

DOI10.1007/s00209-023-03398-0arXiv2203.14418OpenAlexW4388998821MaRDI QIDQ6139839

Yuping Ruan

Publication date: 19 December 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14418

zbMATH Keywords

rigidityBusemann functionsvolume growth entropyCayley hyperbolic space

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Global differential geometry (53Cxx) Jordan algebras (algebras, triples and pairs) (17Cxx)

Related Items (1)

Approximate rigidity of the marked length spectrum

Cites Work

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• Patterson-Sullivan theory in higher rank symmetric spaces
• The degree theorem in higher rank
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Minimal entropy rigidity for lattices in products of rank one symmetric spaces
• The minimal entropy conjecture for nonuniform rank one lattices
• The octonions
• Minimal entropy and Mostow's rigidity theorems
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Volume rigidity for finite volume manifolds

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