The Fenchel-type inequality in the 3-dimensional Lorentz space and a Crofton formula | |
Ye, Nan ; Ma, Xiang ; Wang, Donghao | |
2016 | |
关键词 | Strong-spacelike curves Fenchel theorem Fary-Milnor theorem Total curvature Crofton formula |
英文摘要 | We generalize the Fenchel theorem to strong spacelike (which means that the tangent vector and the curvature vector span a spacelike 2-plane at each point) closed curves with index 1 in the 3-dimensional Lorentz space, showing that the total curvatures must be less than or equal to . A similar generalization of the Fary-Milnor theorem is also obtained. We establish the Crofton formula on the de Sitter 2-sphere which implies the above results.; SCI(E); ARTICLE; yen@pku.edu.cn; maxiang@math.pku.edu.cn; wdh_nick_123456@126.com; 3; 249-259; 50 |
语种 | 英语 |
出处 | SCI |
出版者 | ANNALS OF GLOBAL ANALYSIS AND GEOMETRY |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/457494] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Ye, Nan,Ma, Xiang,Wang, Donghao. The Fenchel-type inequality in the 3-dimensional Lorentz space and a Crofton formula. 2016-01-01. |
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