两种Gauss映射象体积的比较

ON THE VOLUME OF GAUSS MAPS

本文给出比较两种Gauss映射象的体积的公式,并附带给出一关于对称矩阵行列式的不等式。

In this paper we prove that the volume of the image of generalized Gauss map is '0reater' than the image of Gauss map. We also prove an inequality about the determinant of symmetric matrices.