hypersurface

(redirected from Complex hypersurface)
Also found in: Dictionary.

hypersurface

(mathematics)
The analog of a surface in n-dimensional Euclidean space, where n is a positive integer; the set of points, (x1, x2, …, xn ), satisfying an equation of the form ƒ(x1, …, xn ) = 0.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
We henceforth suppose that X is the complex quadric [Q.sub.n], which is the complex hypersurface of complex projective space C[P.sup.n+1] defined by the homogeneous equation
The second fundamental form B of the complex hypersurface X of C[P.sup.n+1] is a symmetric 2-form with values in the normal bundle of X in C[P.sup.n+1].
Smyth, Differential geometry of complex hypersurfaces, Ann.

Full browser ?