Some footnotes on Thurston's notes \textit{The geometry and topology of 3-manifolds}

DOI10.1007/978-3-031-43502-7_12zbMath1547.57001MaRDI QIDQ6610521

Athanase Papadopoulos

Publication date: 25 September 2024

zbMATH Keywords

geometric convergencehyperbolic structurehyperbolic volume\((G,X)\)-structuregeometric structureKoebe-Andreev-Thurston theoremDanteN. I. Lobachevskyconvex co-compact group\(\mathcal{G}\)-structurevolume of a hyperbolic tetrahedronvolume of an ideal tetrahedronP. A. Florensky

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Collected or selected works; reprintings or translations of classics (01A75) Proceedings, conferences, collections, etc. pertaining to manifolds and cell complexes (57-06) History of Greek and Roman mathematics (01A20) History of manifolds and cell complexes (57-03) Hyperbolic 3-manifolds (57K32) Other geometric structures on 3-manifolds (57K35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of \textit{Paradise}
• Menelaus' ``Spherics. Early translation and al-Māhānī/al-Harawī's version
• Manifolds with canonical coordinate charts: Some examples
• The world viewed from outside
• Klassische Stücke der Mathematik.
• Ueber die Clifford-Klein'schen Raumformen.
• The theory of Fuchsian groups
• On the cases when the Gaussian hypergeometric series represents an algebraic function of its four arguments
• Michelangelo's stone: an argument against Platonism in mathematics
• Discontinuous groups of isometries in the hyperbolic plane. Edited by Asmus L. Schmidt
• Lobachevsky geometry and stellar parallaxes
• W. P. Thurston and French mathematics
• Andreev's theorem on hyperbolic polyhedra
• A regular partition of Lobachevskian space
• Feuilletages sur les variétés ouvertes
• Sur la topologie de certains espaces homogènes.
• Discrete groups generated by reflections.
• On Lobachevsky's trigonometric formulae
• Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem
• Hyperbolic geometry: The first 150 years
• A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere
• Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth)
• From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe
• Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective
• A Singular Mathematical Promenade
• ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE
• Noncobordant foliations of 𝑆³
• Zur nichteuklidischen Geometrie.
• Les sphériques. Traduites pour la première fois du grec en français par Paul Ver Eecke.
• La géométrie non-euclidienne.
• Café conversations
• Handbook of the history and philosophy of mathematical practice. In 4 volumes

This page was built for publication: Some footnotes on Thurston's notes \textit{The geometry and topology of 3-manifolds}