In mathematics, the Erlangen program is a method of characterizing geometries based on group theory and projective geometry. It was published by Felix...

of some important conjectures in the Langlands program. Jacquet–Langlands correspondence Erlangen program Frenkel, Edward (2013). Love & Math. ISBN 978-0-465-05074-1...

transformation geometry soon appreciates the significance of Felix Klein's Erlangen program, an outgrowth of certain models of hyperbolic geometry. The combination...

Erlangen (German pronunciation: [ˈɛʁlaŋən] ; Mainfränkisch: Erlang, Bavarian: Erlanga) is a Middle Franconian city in Bavaria, Germany. It is the seat...

and the associations between geometry and group theory. His 1872 Erlangen program classified geometries by their basic symmetry groups and was an influential...

Felix Klein (1849–1925) was a German mathematician best known for his Erlangen program, which emphasised the use of groups in geometry. From 1886 to 1913...

via invariant theory and the Erlangen program, has an impact in number theory via automorphic forms and the Langlands program. There are many approaches...

of Erlangen-Nuremberg (German: Friedrich-Alexander-Universität Erlangen-Nürnberg, FAU) is a public research university in the cities of Erlangen and...

1) or Galilean and Carrollian spaces. From the point of view of the Erlangen program, one may understand that "all points are the same", in the geometry...

Silva, anticipated Tarski in applying the Erlangen Program to logic.[citation needed] The Erlangen program classified the various types of geometry (Euclidean...

approaches from Riemannian geometry of studying invariances, and of the Erlangen program of characterizing geometries according to their group symmetries. The...

geometries may be created by discarding or modifying them. Following the Erlangen program of Klein, the nature of any given geometry can be seen as the connection...

Klein coined the term non-Euclidean geometry in 1871, and through the Erlangen program put Euclidean and non-Euclidean geometries on the same footing. Implicitly...

(1997). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. Graduate Texts in Mathematics. Vol. 166. New York: Springer-Verlag...

(1997). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. New York: Springer. ISBN 0-387-94732-9. page 37 Lawson, H. Blaine;...

homeomorphic or not." The subject is clearly defined by Felix Klein in his "Erlangen Program" (1872): the geometry invariants of arbitrary continuous transformation...

(1997). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. New York: Springer. ISBN 0-387-94732-9. Snapper, Ernst; Troyer, Robert...

is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space X together with a transitive...

(2000). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. Springer. p. 194. ISBN 978-0-387-94732-7. Schouten, Jan Arnoldus (1954)...

quantum mechanics (see Wigner's classification). In accordance with the Erlangen program, the geometry of Minkowski space is defined by the Poincaré group:...

historical and recent, include Felix Klein's Erlangen program, Hilbert's problems, Langlands program, and the Millennium Prize Problems. In the Mathematics...

already has good intuition. As a prime example of generality, the Erlangen program involved an expansion of geometry to accommodate non-Euclidean geometries...

(1997). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. Springer-Verlag, New York. ISBN 0-387-94732-9.. Spivak, Michael (1999)...

coordinate geometry, and topology, fractals, tessellations, and the Erlangen program of understanding geometries through their symmetries. Two more chapters...

between symmetry and geometry came under intense scrutiny. Felix Klein's Erlangen program proclaimed that, in a very precise sense, symmetry, expressed via the...

general concepts of cyclic groups and abelian groups. Klein's 1872 Erlangen program studied geometry and led to symmetry groups such as the Euclidean group...

(1997). Differential geometry : Cartan's generalization of Klein's Erlangen program. New York: Springer. ISBN 0-387-94732-9. OCLC 34356972. Conlon 2001...

theory of quaternions from first principles, in the spirit of the Erlangen program.[citation needed] Lemaître also worked on the three-body problem, introducing...

Euclidean spaces given in this article, is essentially issued from his Erlangen program, with the emphasis given on the groups of translations and isometries...

Euclidean geometry. However the converse is not true. Affine geometry Erlangen program Foundations of geometry Incidence geometry Non-Euclidean geometry Faber...