Convex mappings in several complex variables
Convex mappings in several complex variables
复制标题
多个复杂变量的凸映射
作者：
H. Hamada;G. Kohr
设B是en关于任意范数的单位球。本文给出了B上C1类局部单同态为单叶且有凸象的一个充分条件。最后给出了复椭球B（P1，...，Pn），其中P1，.，pn ~ 1.
Let B be the unit ball of en with respect to an arbitrary norm. We will give a sufficient condition for a local diffeomorphism of C1 class on B to be univalent and to have a convex image. Finally, we present an aplication on the complex ellipsoid B(P1 , ... , Pn), where P1, ... , pn ~ 1.