Affine differential geometry

English

Etymology

The term reflects the categorisation developed by German mathematician Template:W for his Template:W (1872, Vergleichende Betrachtungen über neuere geometrische Forschungen), in which he found a useful distinction between projective, affine and Euclidean geometry (in order of increasing restrictiveness). (Riemannian geometry was not initially included.)

Noun

1. Template:Lb A type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.

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   • 1999, Alexander I. Bobenko, Wolfgang K. Schief, 5: Discrete Indefinite Affine Spheres, Alexander I. Bobenko, Ruedi Seiler (editors), Discrete Integrable Geometry and Physics, Template:W (Clarendon Press), page 113,

     Template:W's classical papers are believed to have initiated a new area in mathematics, namely affine differential geometry.Template:...The present paper extends the above-mentioned approach to affine differential geometry.

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Further reading

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