Fundamental theorem of geometry without the surjective assumption
From MaRDI portal
Publication:2796078
DOI10.1090/tran/6533zbMath1335.51011OpenAlexW2412335162MaRDI QIDQ2796078
Publication date: 23 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/tran/6533
Möbius transformationsaffine transformationsPappus' theorem\(g\)-reflectionsline-to-line transformations
Related Items (5)
On a rigidity problem of Beardon and Minda ⋮ A rigidity result for holomorphic quadratic differentials of finite norm in the unit disk ⋮ Totally geodesic homeomorphisms between Teichmüller spaces ⋮ A geodesic-preserving map of a Euclidean cone disk is affine ⋮ Bi-geodesic mappings between pairs of pants
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The pseudo-affine transformations in \(\mathbb R^{2}\)
- Transformations and non-degenerate maps.
- Isometries in hyperbolic spaces
- A proof of the principle of circle-transformation by the use of a theorem on univalent functions
- Lost Theorems of Geometry
- Sphere-preserving maps in inversive geometry
- On characterizations of sphere-preserving maps
- Circle-Preserving Functions of Spheres
- A new characteristic of Möbius transformations by use of Apollonius quadrilaterals
- Fundamental theorem of geometry without the 1-to-1 assumption
- A new characterization of Möbius transformations by use of Apollonius hexagons
- On the characterization of plane projective and complex MOEBIUS‐transformations
This page was built for publication: Fundamental theorem of geometry without the surjective assumption
