Equi-affine geometry

The branch of affine geometry that studies the invariants of an affine unimodular group of transformations. The most important fact is the existence in equi-affine geometry of areas of parallelograms in plane geometry and of volumes of parallelepipeds in three-dimensional geometry.

#### Comments[edit]

See [a1], p. 276; [a2], pp. 150-156; [a3], pp.40-52; [a4]; and [a5], p. 367.

#### References[edit]

[a1] |  M. Berger, "Geometry" , I , Springer (1987)

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[a2] |  M. Spivak, "A comprehensive introduction to differential geometry" , 2 , Publish or Perish pp. 1–5
[a3] |  L. Fejes Toth, "Lagerungen in der Ebene, auf der Kugel und im Raum" , Springer (1972)
[a4] |  J. Dieudonné, "Treatise on analysis" , 4 , Acad. Press (1974)
[a5] |  W. Blaschke, "Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Affine Differentialgeometrie" , 2 , Springer (1923)