Abstract
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 L3. We achieve a complete classification of spacelike generalized constant ratio surfaces in L3.
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Acknowledgements
This work was supported by the Liaoning Science and Technology Project (No. 201602528), the General Project for Department of Liaoning Education (No. L2014482), the Project funded by China Postdoctoral Science Foundation (Nos. 2016T90226, 2014M560216), and the National Natural Science Foundation of China (Grant Nos. 11601068, 11326068).
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Yang, D., Fu, Y. & Li, L. Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space. Front. Math. China 12, 459–480 (2017). https://doi.org/10.1007/s11464-016-0536-9
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DOI: https://doi.org/10.1007/s11464-016-0536-9