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Parallel surfaces of the non-lightlike solution of vortex filament equations

  • Melek Erdoğdu und Gülşah Aydin Şekerci EMAIL logo
Veröffentlicht/Copyright: 24. Juni 2024
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Abstract

In this paper, we investigate the parallel surfaces of the nonlightlike solution of vortex filament equations, namely, the parallel surfaces to Hasimoto surfaces in E13 . We examine the relation between the geometric structures of Hasimoto surfaces and parallel surfaces to them. Moreover, we give concluding remarks about the parameter curves of parallel surface to Hasimoto surfaces.

MSC 2010: Primary 14J25; 53Z05
  1. Communicated by Tibor Macko

References

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Received: 2023-01-17
Accepted: 2023-10-18
Published Online: 2024-06-24
Published in Print: 2024-06-25

© 2024 Mathematical Institute Slovak Academy of Sciences

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