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Complete Space-like λ-surfaces in the Minkowski Space R1^3 with the Second Fundamental Form of Constant Length

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摘要 In this paper we study the complete space-like λ-surfaces in the three dimensional Minkowski space R1^3.As the result,we obtain a complete classification theorem for all the complete space-like λ-surfaces x:M^2→R1^3 with the second fundamental form of constant length.This is a natural extension to the λ-surfaces in R1^3 of a recent interesting classification theorem by Cheng and Wei forλ-surfaces in the Euclidean space R^3.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第5期559-577,共19页 数学学报(英文版)
基金 Supported by Natural Science Foundation of China(Grant Nos.11671121,11871197 and 11971153)。
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