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Difference between revisions of "Equi-affine geometry"

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(Category:Geometry)
 
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====References====
 
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<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>
 
<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>
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[[Category:Geometry]]

Latest revision as of 21:14, 1 November 2014

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

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

References

[a1] M. Berger, "Geometry" , I , Springer (1987)
[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)
How to Cite This Entry:
Equi-affine geometry. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Equi-affine_geometry&oldid=32050
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article