摘要
本文建立关于三维空间型中的可定向闭曲面的某些公式.引入积分绝对平均曲率来描述可定向闭曲面的平均弯曲程度.在此意义上,可定向闭曲面可以与作为包含该闭曲面的凸的测地球的边界测地球面进行比较。
This paper establishes some formulas on orientable closed surfaces in 3-dimensional space forms. Integral absolute mean curvature is introduced to describe average curving of an orientable closed surface. In this sense, an orientable closed surface could be compared with a geodesic sphere that is the boundary of a convex geodesic ball containing the orientable closed surface. The comparison can be used to show some properties of space forms only on themselves.
出处
《数学年刊（A辑）》
CSCD
北大核心
2003年第6期729-734,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.19771010)资助的项目
关键词
可定向闭曲面
空间型
积分绝对平均曲率
Orientable closed surface, Space forms, Integral absolute mean curvature
