- 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...
- geometry, a
Dupin hypersurface is a
submanifold in a
space form,
whose prin****l
curvatures have
globally constant multiplicities. A
hypersurface is
called a...
- 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....
- 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...
- ellipsoids, paraboloids, and hyperboloids. More generally, a
quadric hypersurface (of
dimension D)
embedded in a
higher dimensional space (of dimension...
- In
algebraic geometry,
given a
projective algebraic hypersurface C {\displaystyle C}
described by the
homogeneous equation f ( x 0 , x 1 , x 2 , … ) =...
- 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...
- even-dimensional
phase space of a
mechanical system or constant-energy
hypersurface, which,
being codimension one, has odd dimension. Like
symplectic geometry...
-
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....
-
polynomial F is non-differentiable is
called its ****ociated
tropical hypersurface,
denoted V ( F ) {\displaystyle \mathrm {V} (F)} (in
analogy to the vanishing...
