Solution surfaces of Monge-Ampre equations
Solution surfaces of Monge-Ampre equations
复制标题
Monge-Ampre 方程的解曲面
DOI：
10.1016/s0926-2245(01)00033-x
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
T. Morimoto
中科院分区：
文献类型：
--
作者：
G. Ishikawa;T. Morimoto
本文在接触几何的框架下研究了Monge-Ampère方程解曲面的奇性，并研究了它们对某些类型方程解的全局和局部影响.特别地，作为副产品，我们利用射影对偶的概念给出了经典Hartman-Nirenberg定理的一个简单证明，并给出了真实的射影空间R P4中紧致可展超曲面的一个新例子
In this paper we examine the singularities of solution surfaces of Monge–Ampère equations and study their global and local effects on the solutions for certain kinds of equations in the framework of contact geometry. In particular, as a byproduct, we give a simple proof to the classical Hartman–Nirenberg's theorem by using the notion of projective duality and provide a new example of compact developable hypersurfaces in the real projective space R P4