Non-euclidean geometries: the Cayley-Klein approach

DOI10.1007/s00022-010-0053-zzbMath1213.51018OpenAlexW2069994587WikidataQ56873869 ScholiaQ56873869MaRDI QIDQ622547

Horst Struve, Rolf Struve

Publication date: 3 February 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0053-z

zbMATH Keywords

non-Euclidean geometryCayley-Klein geometryKlein's modelprojective-metric spaces

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Linear algebraic groups over arbitrary fields (20G15) Absolute spaces in metric geometry (51F10) Free lattices, projective lattices, word problems (06B25)

Related Items (11)

Cayley-Klein geometries and projective-metric geometry ⋮ Kinematic mappings for Cayley-Klein geometries via Clifford algebras ⋮ Ordered metric geometry ⋮ Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ Metric Geometries in an Axiomatic Perspective ⋮ The Thomsen-Bachmann correspondence in metric geometry. I ⋮ The Thomsen-Bachmann correspondence in metric geometry. II ⋮ An axiomatic foundation of Cayley-Klein geometries ⋮ Burmester theory in Cayley-Klein planes with affine base ⋮ The principle of duality in Euclidean and in absolute geometry ⋮ Coning, symmetry and spherical frameworks

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