MINIMAL VOLUME OF COMPLETE UNIFORM VISIBILITY MANIFOLDS WITH FINITE VOLUME

DOI10.1017/S1446788713000141zbMath1281.53045arXiv1204.2025OpenAlexW2962789184MaRDI QIDQ2861587

Sungwoon Kim

Publication date: 11 November 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2025

zbMATH Keywords

minimal volumesimplicial volumevisibility manifold

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

• Simplicial volume of \(\mathbb Q\)-rank one locally symmetric spaces covered by the product of \(\mathbb R\)-rank one symmetric spaces
• Simplicial volume of closed locally symmetric spaces of non-compact type
• Simplicial volume of Hilbert modular varieties
• Lattices in spaces of nonpositive curvature
• Visibility manifolds
• RELATIVELY HYPERBOLIC GROUPS
• Degree theorems and Lipschitz simplicial volume for nonpositively curved manifolds of finite volume
• Relatively hyperbolic groups

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