# Centro-affine geometry

From Encyclopedia of Mathematics

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=46297

This article was adapted from an original article by L.A. Sidorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article