Hypersurface - Wikipedia
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 of dimension n − 1, which is …
超曲面 - 百度百科
超曲面（英语：hypersurface）是 几何 中 超平面 概念的一种推广。 假设存在一个n维 流形 M，则M的任一 (n-1)维 子流形 即是一个超曲面。 或者可以说，超曲面的 余维数 为1。 在 代数几何 …
超曲面 - 维基百科，自由的百科全书
超曲面 （英語： hypersurface）是 几何 中 超平面 概念的一种推广。 假设存在一个 n 维 流形 M，则 M 的任一 (n -1)维 子流形 即是一个超曲面。 或者可以说，超曲面的 餘維數 为1。 在 …
Hypersurface - Encyclopedia of Mathematics
2020年6月5日 · A generalization of the concept of an ordinary surface in three-dimensional space to the case of an $ n $- dimensional space. The dimension of a hypersurface is one less than …
HYPERSURFACES SHENGRONG WU Abstract. This article introduces the theory of minimal surface and some important properties and applications about curvature estimate. In the …
There are lots of isomorphic hypersurfaces. The easiest way (and almost the only way) to produce isomorphic hypersurfaces is to look at the image of a hypersurface under an element A …
Hypersurface -- from Wolfram MathWorld
2024年11月26日 · A generalization of an ordinary two-dimensional surface embedded in three-dimensional space to an -dimensional surface embedded in -dimensional space. A …
Geometry of Hypersurfaces - SpringerLink
Geometry of Hypersurfaces begins with the basic theory of submanifolds in real space forms. Topics include shape operators, principal curvatures and foliations, tubes and parallel …
the hypersurface X* iff these hypersurfaces can be made to coincide with one another by a motion. In other words, a connected two-sided hypersurface of the Euclidean space is …
Two hypersurfaces in CPn are projectively equivalent if they are in the same orbit under the action of PGL(n+ 1;C). Two central problems immediate present themselves: