Finite-volume hyperbolic 4-manifolds that share a fundamental polyhedron

DOI10.1016/S0926-2245(99)00006-6zbMath0945.51009arXivmath/9705217WikidataQ115337438 ScholiaQ115337438MaRDI QIDQ1303766

Dubravko Ivanšić

Publication date: 22 September 1999

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9705217

zbMATH Keywords

Gauss-Bonnet formulahyperbolic 4-manifoldsvolume functionembedded totally geodesic hypersurfacesPoincaré's polyhedron theoremset of volumes

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Length, area and volume in real or complex geometry (51M25)

Related Items (2)

Arbitrarily large families of spaces of the same volume ⋮ Embeddability of noncompact hyperbolic manifolds as complements of codimension-1 and -2 submanifolds

Cites Work

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• An exposition of Poincaré's polyhedron theorem
• A Hyperbolic 4-Manifold
• The structure of certain subgroups of the Picard group
• The Volume Spectrum of Hyperbolic 4-Manifolds

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