Euclidean symmetry of closed surfaces immersed in 3-space

DOI10.1016/j.topol.2015.12.068zbMath1338.57017OpenAlexW2297668209MaRDI QIDQ260547

F. Blanchet-Sadri, M. Dambrine

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.12.068

zbMATH Keywords

branched coveringorbifoldgeneral position immersionRiemann-Hurwitz equation

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items

Open problems on \(k\)-orbit polytopes ⋮ Vertex-transitive polyhedra of higher genus. I ⋮ Bordered surfaces in the 3-sphere with maximum symmetry ⋮ Orientation-reversing symmetry of closed surfaces immersed in euclidean 3-space

Cites Work

• Vertex-transitive polyhedra of higher genus. I
• The simple loop conjecture
• Regular homotopy classes of immersed surfaces
• Embeddable anticonformal automorphisms of Riemann surfaces
• A DIOPHANTINE FROBENIUS PROBLEM RELATED TO RIEMANN SURFACES
• PRIME ORDER AUTOMORPHISMS OF KLEIN SURFACES REPRESENTABLE BY ROTATIONS ON THE EUCLIDEAN SPACE
• Symmetrically Bordered Surfaces
• Triple Points and Singularities of Projections of Smoothly Immersed Surfaces
• Triple Points and Surgery of Immersed Surfaces
• Two Notes on Maps and Surface Symmetry
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