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Characterization of parametric surfaces in lie groups with the help of an alternative frame

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2024
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Abstract (EN)

In this work, we derive a family of surfaces using an alternative moving frame in the 3-dimensional Lie group. We provide necessary and sufficient conditions to transform a given curve into a line of curvature, a geodesic, and an asymptotic curve for a parametric surface. Finally, the study presents and some examples of the obtained data.

Author

Betül Oğraş İkiz

How to Cite

Betül Oğraş İkiz (Master Thesis). Characterization of parametric surfaces in lie groups with the help of an alternative frame, 2024, Fırat University.

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