Nonfibering Spherical 3-Orbifolds

DOI10.2307/2154616zbMath0808.57007OpenAlexW4252234770MaRDI QIDQ4286435

William D. Dunbar

Publication date: 27 March 1994

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

Full work available at URL: https://doi.org/10.2307/2154616

zbMATH Keywords

spherical 3-orbifoldsSeifert fiberingDirichlet fundamental regionsfinite subgroup of \(SO_ 4\)

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Groups acting on specific manifolds (57S25) Group actions on manifolds and cell complexes in low dimensions (57M60) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (16)

On the diffeomorphism type of Seifert fibered spherical 3-orbifolds ⋮ Cone 3-Manifolds ⋮ Extending finite group actions on surfaces over \(S^3\) ⋮ Fibered spherical 3-orbifolds ⋮ Embedding surfaces into \(S^3\) with maximum symmetry ⋮ Graphs in the 3-sphere with maximum symmetry ⋮ Minimal surfaces in the three-dimensional sphere with high symmetry ⋮ Bordered surfaces in the 3-sphere with maximum symmetry ⋮ Projective structures on a hyperbolic 3-orbifold ⋮ Diameters of 3-sphere quotients ⋮ Orders and actions of branched coverings of hyperbolic links ⋮ When is the underlying space of an orbifold a manifold? ⋮ Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 ⋮ Isometry groups and mapping class groups of spherical 3-orbifolds ⋮ Dimension of representation and character varieties for two- and three-orbifolds ⋮ Maximum orders of extendable actions on surfaces

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