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Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space. (English) Zbl 1380.53025
Summary: Generalized constant ratio surfaces are defined by the property that the tangential component of the position vector is a principal direction on the surfaces. In this work, we study these class of surfaces in the 3-dimensional Minkowski space $$\mathbb{L}^{3}$$. We achieve a complete classification of spacelike generalized constant ratio surfaces in $$\mathbb{L}^{3}$$.

MSC:
 53B25 Local submanifolds 53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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References:
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