Concept information
Preferred term
hypersurface
Definition(s)
- In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface. A hypersurface is a manifold or an algebraic variety of dimension n − 1, which is embedded in an ambient space of dimension n, generally a Euclidean space, an affine space or a projective space. Hypersurfaces share, with surfaces in a three-dimensional space, the property of being defined by a single implicit equation, at least locally (near every point), and sometimes globally. A hypersurface in a (Euclidean, affine, or projective) space of dimension two is a plane curve. In a space of dimension three, it is a surface. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hypersurface)
Broader concept(s)
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/MDL-D2BK2CBS-2
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