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Difference between revisions of "Affine minimal surface"

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A surface whose affine curvature is zero. As distinct from ordinary minimal surfaces, which consist of saddle points only, an affine minimal surface may contain elliptic points as well. Thus, an elliptic paraboloid consists only of elliptic points, and is an affine minimal surface.
 
A surface whose affine curvature is zero. As distinct from ordinary minimal surfaces, which consist of saddle points only, an affine minimal surface may contain elliptic points as well. Thus, an elliptic paraboloid consists only of elliptic points, and is an affine minimal surface.

Latest revision as of 09:29, 27 June 2014

A surface whose affine curvature is zero. As distinct from ordinary minimal surfaces, which consist of saddle points only, an affine minimal surface may contain elliptic points as well. Thus, an elliptic paraboloid consists only of elliptic points, and is an affine minimal surface.

How to Cite This Entry:
Affine minimal surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Affine_minimal_surface&oldid=19038
This article was adapted from an original article by E.V. Shikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article