摘要
In this paper we solve completely the well-known conjecture of Calabi onhyperbolic affine hyperspheres.The following Theorems are provedTheorem 1 Let M be a locally strongly convex,affine complete hyperbolicaffine hypersphere,then M is Euclidean complete.
<正> In this paper we solve completely the well-known conjecture of Calabi onhyperbolic affine hyperspheres.The following Theorems are provedTheorem 1 Let M be a locally strongly convex,affine complete hyperbolicaffine hypersphere,then M is Euclidean complete.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
1990年第1期115-116,共2页
Journal of Sichuan University(Natural Science Edition)
关键词
Calabi猜测
双曲仿射
超球面
Calabi conjecture, hyperbolic affine hypersphere, affine differential geometry.
