A comparative review of recent researches in geometry

Publication date: 20 July 2008

Abstract: Felix Klein's so-called Erlangen Program was published in 1872 as professoral dissertation. It proposed a new solution to the problem how to classify and characterize geometries on the basis of projective geometry and group theory. The given translation was made in 1892 by Dr. M. W. Haskell and transcribed by N. C. Rughoonauth. We replaced bibliographical data in text and footnotes with pointers to a complete bibliography section.

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Projective differential geometry (53A20) Geometry of classical groups (51N30) Research exposition (monographs, survey articles) pertaining to geometry (51-02) Analytic geometry with other transformation groups (51N25)

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