n. A n.-dimensional surface in a space (often a Euclidean space) of dimension n.+1
The Century Dictionary and Cyclopedia
n. In space of n-dimensions, Sn, the aggregate of points whose coördinates satisfy a rational homogeneous equation with integral coefficients.
Word Usage
"The Weyl curvature is zero on both the future boundary and past boundary, hence the Big Bang is still well-defined in the cyclic model as the unique hypersurface on which the Weyl curvature vanishes."