Centro-affine geometry
From Encyclopedia of Mathematics - Reading time: 1 min
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) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Centro-affine_geometry4 views | Status: cached on September 05 2024 23:48:08↧ Download this article as ZWI file
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