On the Surfaces with Constant Mean Curvature along a Curve in the Lie Group

Authors : Zuhal KUCUKARSLAN YUZBASİ, Sevinç TAZE

Pages : 1230-1236

Doi:10.21597/jist.1203363

View : 73 | Download : 63

Publication Date : 2023-06-01

Article Type : Research Paper

Abstract :In this study, an isoparametric curve and its Frenet frame are linearly combined to form a surface in 3-dimensional Lie group. When the surface has a constant mean curvature along the given curve, sufficient conditions have been satisfied. In conclusion, we provide examples of our findings and draw graphs.
Keywords : Lie Group, Mean curvature, Surface

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