On the structure of hyperbolic manifolds

DOI10.1007/BF02803507zbMath1073.57013OpenAlexW1995166375MaRDI QIDQ1766479

Ruth Kellerhals

Publication date: 7 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02803507

zbMATH Keywords

hyperbolic manifolddiameterinjectivity radiusfinite volumeGromov invariantMargulis constantthick and thin decomposition

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (3)

Systole length in hyperbolic \(n\)-manifolds ⋮ An upper bound on Pachner moves relating geometric triangulations ⋮ Systole and inradius of noncompact hyperbolic manifolds

Cites Work

• Volume and bounded cohomology
• Manifolds of nonpositive curvature
• Volume, diameter and the first eigenvalue of locally symmetric spaces of rank one
• Möbius transformations in several dimensions
• Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements
• Volumes of cusped hyperbolic manifolds
• Cones embedded in hyperbolic manifolds
• Counting hyperbolic manifolds
• Homotopy type and volume of locally symmetric manifolds
• Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds
• On discontinuous groups operating on the product of the upper half planes
• A general comparison theorem with applications to volume estimates for submanifolds
• A Lower Bound for the Volume of Hyperbolic 3-Manifolds
• Quaternions and Some Global Properties of Hyperbolic 5-Manifolds
• Geometry and spectra of compact Riemann surfaces
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