We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and sufficient condition of a curve which is a generalized lightlike or a generalized non-lightlike Bertrand curve. Moreover, we study the relationship between slant helices and generalized Bertrand curves.
机构:
Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Inst Math, Shanghai 200433, Peoples R China
Ding, Qing
Wang, Wei
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Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Inst Math, Shanghai 200433, Peoples R China
Wang, Wei
Wang, Youde
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Chinese Acad Sci, AMSS, Beijing 100190, Peoples R ChinaFudan Univ, Inst Math, Shanghai 200433, Peoples R China