具有 1／4 对称度量联络的半 Rie mann 流形非退化超曲面

摘要

Using the equations of Gauss and Weingarten with respect to the Levi‐Civita connection ,w e gave the equations of Gauss and Weingarten for a non‐degenerate hypersurface of a semi‐Riemannian manifold w ith a quarter‐sym metric metric connection ,and obtained the Gauss curvature equation and Codazzi‐M ainardi equation for this kind of hypersurface.We could further study the properties of more general connection by using this result .%借助Levi‐Civita联络的Gauss方程与Weingarten方程给出具有1／4对称度量联络的半Riemann流形非退化超曲面上的Gauss方程与Weingarten方程,得到了这类曲面上的Gauss曲率方程和Codazzi‐M ainardi方程,利用该结果可进一步研究更一般联络的性质 .