The Heegaard genus of hyperbolic 3-manifolds of small volume

DOI10.1007/BF02110720zbMath0887.57021WikidataQ125941876 ScholiaQ125941876MaRDI QIDQ1357991

Alexander Mednykh, Andrei Vesnin

Publication date: 10 May 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

automorphism groupHurwitz boundFibonacci manifolds

Mathematics Subject Classification ID

Related Items (3)

All Dehn Fillings of the Whitehead Link Complement are Tetrahedron Manifolds ⋮ Sufficient discreteness conditions for 2-generator subgroups in \(\mathrm{PSL}(2,\mathbb C)\) ⋮ Three-dimensional hyperbolic manifolds of small volume with three hyperelliptic involutions

Cites Work

• Heegaard genus of closed orientable Seifert 3-manifolds
• Constructions of two-fold branched covering spaces
• Isometry transformations of hyperbolic 3-manifolds
• Fibonacci manifolds as two-fold coverings of the three-dimensional sphere and the Meyerhoff-Neumann conjecture
• Hyperbolic volumes of Fibonacci manifolds
• An asymptotic formula for the eta invariants of hyperbolic 3-manifolds
• On the Hantzsche-Wendt manifold
• Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
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