数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2008年
2期
119-123
,共5页
曲率%挠率%法曲率%测地曲率%测地挠率
麯率%撓率%法麯率%測地麯率%測地撓率
곡솔%뇨솔%법곡솔%측지곡솔%측지뇨솔
curvature%torsion%normal curvature%geodesic curvature%geodesic torsion
本文研究了R3中相交子流形的不变量.利用活动标架法,得出了一个类似的欧拉公式. 即两曲面交线的挠率可以用两曲面的测地挠率、法曲率及两曲面的夹角表示.
本文研究瞭R3中相交子流形的不變量.利用活動標架法,得齣瞭一箇類似的歐拉公式. 即兩麯麵交線的撓率可以用兩麯麵的測地撓率、法麯率及兩麯麵的夾角錶示.
본문연구료R3중상교자류형적불변량.이용활동표가법,득출료일개유사적구랍공식. 즉량곡면교선적뇨솔가이용량곡면적측지뇨솔、법곡솔급량곡면적협각표시.
We investigate invariants of the intersection of submanifolds of R3. We obtain an analogue of Euler formula by using the method of moving frames. The torsion of the intersection curve of two surfaces in R3 can be expressed by geodesic torsions,normal curvatures and the angle between surfaces.