The 9-vertex complex projective plane
DOI10.1007/BF03026567zbMath0534.51009WikidataQ105532104 ScholiaQ105532104MaRDI QIDQ790424
Thomas F. Banchoff, Wolfgang Kuehnel
Publication date: 1983
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Other geometric groups, including crystallographic groups (20H15) Special surfaces (14J25) Projective analytic geometry (51N15) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35) Triangulating (57R05) Orthogonal and unitary groups in metric geometry (51F25) Polytopes and polyhedra (52Bxx)
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Cites Work
- The unique 3-neighborly 4-manifold with few vertices
- Tight topological embeddings of the real projective plane in \(E^s\)
- The equianharmonic surface and the Hessian polyhedron
- The quotient space of the complex projective plane under conjugation is a 4-sphere
- The quotient space of \(CP(2)\) by complex conjugation is the 4-sphere
- An enumeration of simplicial 4-polytopes with 8 vertices
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