- 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...
- In
relativity and in pseudo-Riemannian geometry, a null
hypersurface is a
hypersurface whose normal vector at
every point is a null
vector (has zero length...
- In
algebraic geometry, a
Coble hypersurface is one of the
hypersurfaces ****ociated to the
Jacobian variety of a
curve of
genus 2 or 3 by
Arthur Coble....
- geometry, a
Dupin hypersurface is a
submanifold in a
space form,
whose prin****l
curvatures have
globally constant multiplicities. A
hypersurface is
called a...
- of n
projective hypersurfaces has
codimension n, then the
degree of the
intersection is the
product of the
degrees of the
hypersurfaces. The
degree of...
- can be
viewed as the
equation of an
hypersurface, and the
solutions of the
equation are the
points of the
hypersurface that have
integer coordinates. This...
-
variables x1, x2 and x3. For
higher values of n, the
level set is a
level hypersurface, the set of all real-valued
roots of an
equation in n > 3 variables....
-
differential geometry,
complex lamellar vector fields are more
often called hypersurface-orthogonal
vector fields. They can be
characterized in a
number of different...
- In
algebraic geometry,
given a
projective algebraic hypersurface C {\displaystyle C}
described by the
homogeneous equation f ( x 0 , x 1 , x 2 , … ) =...
- (quadric
hypersurface in
higher dimensions), is a
generalization of
conic sections (ellipses, parabolas, and hyperbolas). It is a
hypersurface (of dimension...
