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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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