Hypersurface
Hypersurface In mathematics, a hypersurface is some kind of submanifold. For differential ... geometry and topology. In algebraic geometry, a hypersurface in projective space of dimension n is ...
http://en.wikipedia.org/wiki/Hypersurface - 1k - Cached - Similar pages

Hypersurface   (translated from French)
Hypersurface This article is one ébauche to be ... knowledge by modifying it. The concept of hypersurface belongs to Espaces topological . It is one ... of a space à.trois.dimensions, a hypersurface is a delimitation of a space with ...
http://fr.wikipedia.org/wiki/Hypersurface - 0k - Cached (French) - Wikipedia (French) - Similar pages

Milnor map
... z_0,...,z_n)=0 is a complex hypersurface of complex dimension $n$ containing ... is an isolated singular point of the hypersurface $V\_f$ (in particular, for every ... 1)-sphere) with the (non-singular) hypersurface $V\_g$ where $g=f\; ...\; zero\; complex\; number.\; This\; small\; piece\; of$hypersurface is also called a Milnor fiber. Milnor ...
http://en.wikipedia.org/wiki/Milnor_map - 5k - Cached - Similar pages

Deriving the Schwarzschild solution
... static assumption). Simplifying the components On each hypersurface of constant $t$, constant hypersurface gives: $\backslash tilde\{g\}\_\{22\}\backslash left\; ...\; this\; is\; required\; to\; hold\; on\; each$hypersurface; hence, $g\_\{22\}=\backslash ,\; r^2$
http://en.wikipedia.org/wiki/Deriving_the_Schwarzschild_solution - 14k - Cached - Similar pages

Second fundamental form
... form on the tangent space of a hypersurface, usually denoted by II. It is an ... shape operator (denoted by S) of a hypersurface, $I\backslash !I(v,w)=\backslash langle\; S\; ...\; n\; a\; field\; of\; normal\; vectors\; on$hypersurface. The sign of second fundamental form depends ... same as choice of orientation on the hypersurface). The second fundamental form can be generalized ...
http://en.wikipedia.org/wiki/Second_fundamental_form - 3k - Cached - Similar pages

Black hole and space time   (translated from French)
... the arrival on a point of the hypersurface ' T = T 0 ' located in the future ... the black hole, the arrival on the hypersurface ' X = X 0 ' corresponding to the position ... whatever the time put to fall. The hypersurface corresponding to the limiting ray is called ...
http://fr.wikipedia.org/wiki/Trou_noir_et_espace-temps - 20k - Cached (French) - Wikipedia (French) - Similar pages

Complete intersection
... Geometrically each F i separately define a hypersurface H i ; the intersection of the H ... m = 1 then automatically V is a hypersurface and there is nothing to prove. The ... other than 1 and 3, by the hypersurface Bézout theorem. Since a plane and a ...
http://en.wikipedia.org/wiki/Complete_intersection - 5k - Cached - Similar pages

Glossary of Riemannian and metric geometry
... quadratic form on the tangent space of hypersurface, usually denoted by II, an equivalent way to describe shape operator of a hypersurface, $II(v,w)=\backslash langle\; S(v\; ...\; the\; normal\; space.\; Shape\; operator\; for\; a$hypersurface M is a linear operator from
http://en.wikipedia.org/wiki/Glossary_of_Riemannian_and_metric_geometry - 17k - Cached - Similar pages

Theoretical chemistry   (translated from German)
... an analytic approximation solution of the energy hypersurface searched and these then into the core ... freedom their connection distance), a complete energy hypersurface can, thus one, which considers all degrees ...
http://de.wikipedia.org/wiki/Theoretische_Chemie - 36k - Cached (German) - Wikipedia (German) - Similar pages

Synchronous gauge
... is not uniquely defined, as the spacelike hypersurface at $t=0$ can be ... solving theoretical problems in which a spacelike hypersurface needs to be fixed, as with spacelike ...
http://en.wikipedia.org/wiki/Synchronous_gauge - 2k - Cached - Similar pages