Hypersurface
From Wikipedia, the free encyclopedia
In mathematics, a hypersurface is some kind of submanifold.
- For differential geometry usage, see glossary of differential geometry and topology.
- In algebraic geometry, a hypersurface in projective space of dimension n is an algebraic set that is purely of dimension n − 1. It is then defined by a single equation F = 0, a homogeneous polynomial in the homogeneous coordinates. (It may have singularities, so not in fact be a submanifold in the strict sense.)
See also: hyperplane, hypersphere, hyperspace.
 |
This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. |
