负Gauss曲率曲面与方程φ_(uu)—φ_(vv)=F(φ,φ_u,φ_v)sinφcosφ

SURFACES WITH NEGATIVE GAUSS CORVATUVE AND EQUATIONS φ_(uu)-φ_(vv)=F(φ,φ_u,φ_v)sinφcosφ

文中讨论了方程φ_uu-φuu=F(φ,φ_u,φ_u)sinφcosφ的解与负Gauss曲率曲面的关系,并给出了定理和例子.

This paper discussed the relation between surfaces with negative Gauss curvature and equations φuu-φvv=F(φ,φu,φv)sinφcosφ. We gave the theorem and examples.