Difference between revisions of "Centro-affine geometry"
From Encyclopedia of Mathematics
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| − | The branch of [[Affine geometry|affine geometry]] in which one studies invariants of centro-affine transformations: | + | <!-- |
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| + | The branch of [[Affine geometry|affine geometry]] in which one studies invariants of centro-affine transformations: $ \overline{x}\; {} ^ {i} = A _ {s} ^ {i} x ^ {s} $. | ||
| + | Centro-affine transformations leave one point (the centre) fixed. In centro-affine geometry there is complete duality: To every proposition concerning points corresponds the same proposition concerning hyperplanes. | ||
Latest revision as of 16:43, 4 June 2020
The branch of affine geometry in which one studies invariants of centro-affine transformations: $ \overline{x}\; {} ^ {i} = A _ {s} ^ {i} x ^ {s} $.
Centro-affine transformations leave one point (the centre) fixed. In centro-affine geometry there is complete duality: To every proposition concerning points corresponds the same proposition concerning hyperplanes.
How to Cite This Entry:
Centro-affine geometry. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Centro-affine_geometry&oldid=12060
Centro-affine geometry. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Centro-affine_geometry&oldid=12060
This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article