论文摘要
研究了仿射平面A~2上的仿射几何。对于一条正则平面曲线,定义了2种活动标架。第1种在所有的活动标架中是极小阶的;第2种类似于欧氏情形的Frenet标架。得到了这些活动标架的运动方程,并且证明由此得到曲率和符号不变量构成完全的不变量系统。作为应用,给出了平面常曲率仿射曲线的分类。
论文目录
文章来源
类型: 期刊论文
作者: 赵旭安,高红铸
关键词: 一般仿射微分几何,平面曲线,活动标架,不变弧长元素,曲率
来源: 北京师范大学学报(自然科学版) 2019年06期
年度: 2019
分类: 基础科学
专业: 数学
单位: 北京师范大学数学系教育部数学和复杂系统关键实验室
基金: supported by NSFC（11571038）
分类号: O186.11
DOI: 10.16360/j.cnki.jbnuns.2019.06.002
页码: 683-691
总页数: 9
文件大小: 199K
下载量: 49
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标签：一般仿射微分几何论文; 平面曲线论文; 活动标架论文; 不变弧长元素论文; 曲率论文;