The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper. Meanwhile, the idea of the generalized Hasimoto surfaces is proposed based on the vortex filament equation. The conditions and geometric structures of the generalized Hasimoto pseudo null growth surfaces are investigated accompanied by some typical examples.
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