View source for Equi-affine geometry

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The branch of [[Affine geometry|affine geometry]] that studies the invariants of an [[Affine unimodular group|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====
See [[#References|[a1]]], p. 276; [[#References|[a2]]], pp. 150-156; [[#References|[a3]]], pp.40-52; [[#References|[a4]]]; and [[#References|[a5]]], p. 367.

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  M. Berger,   "Geometry" , '''I''' , Springer  (1987)</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  M. Spivak,   "A comprehensive introduction to differential geometry" , '''2''' , Publish or Perish  pp. 1–5</TD></TR><TR><TD valign="top">[a3]</TD> <TD valign="top">  L. Fejes Toth,   "Lagerungen in der Ebene, auf der Kugel und im Raum" , Springer  (1972)</TD></TR><TR><TD valign="top">[a4]</TD> <TD valign="top">  J. Dieudonné,   "Treatise on analysis" , '''4''' , Acad. Press  (1974)</TD></TR><TR><TD valign="top">[a5]</TD> <TD valign="top">  W. Blaschke,   "Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie. Affine Differentialgeometrie" , '''2''' , Springer  (1923)</TD></TR></table>