空间型中框架曲线的通有分支及其包络
Generic bifurcations of framed curves in a space form and their envelopes
摘要：
利用射影几何的方法对空间型、欧几里得空间、椭圆空间和双曲空间中的单参数标架曲线族的通有奇点和分支进行了分类.利用旗流形上的某些微分系统，研究了适应框架和密切框架。
英文摘要：
The generic singularities and bifurcations are classified for one-parameter families of curves with frames in a space form, the Euclidean space, the elliptic space or the hyperbolic space via projective geometry. Two kinds of frames are considered, adapted frames and osculating frames, in terms of certain differential systems on flag manifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
