Three-dimensional hyperelliptic manifolds

DOI10.1007/BF00055015zbMath0712.57007MaRDI QIDQ748965

Alexander Mednykh

Publication date: 1990

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

orbifoldsHamiltonian graphhyperelliptic manifoldsreflection groupsgeometrization of 3-manifolds

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Reflection groups, reflection geometries (51F15) Real and complex geometry (51M99)

Related Items (9)

Geometric orbifolds with torsion free derived subgroup ⋮ On football manifolds of E. Molnár ⋮ Right-angled polyhedra and hyperbolic 3-manifolds ⋮ Three-dimensional hyperelliptic manifolds and Hamiltonian graphs ⋮ Three-dimensional hyperbolic manifolds of small volume with three hyperelliptic involutions ⋮ Spherical Coxeter groups and hyperelliptic 3-manifolds ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ Twofold unbranched coverings of genus two 3-manifolds are hyperelliptic ⋮ On hyperelliptic Euclidean 3-manifolds

Cites Work

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• Structures of the Haken manifolds with Heegaard splittings of genus two
• On branched coverings of 3-manifolds which fiber over the circle.
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Elastic waves in rods and clad rods

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