Gauss-Kronecker曲率公式的一个注记

A Note on the Formulafor Gauss-Kronecker Curvature

从Gauss-Kronecker曲率的定义出发,给出并证明了对n+1维欧氏空间Rn+1中的n维超曲面的Gauss-Kronecker曲率的一个计算公式。例子显示利用该公式计算超曲面的Gauss-Kronecker曲率更方便。

From the definition of Gauss‐Kronecker curvature ,this paper gives and proves a formula for calculating the Gauss‐Kronecker curvature , based n‐dimensional super‐surfaces in the n + 1‐dimensional Euclidean space . Examples show the convenience of the formula in calculating the Gauss‐Kronecker curvature of a super‐surface .