Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration

Year 2025, Volume: 74 Issue: 4, 687 - 700, 24.12.2025

Bahar Doğan Yazıcı

https://doi.org/10.31801/cfsuasmas.1591735

Abstract

In this work, we define parallel $\mathcal{P}$-equidistant ruled surfaces with the Myller configuration. We investigate the characterization of the striction curves and $\mathcal{P}$-distance of parallel $\mathcal{P}$-equidistant ruled surfaces. In addition, we obtain the relationships between the versor fields of the base curves of parallel $\mathcal{P}$-equidistant ruled surfaces and the relationships between curvatures and invariants with the Myller configuration. Finally, we describe the integral invariants drall, apex angle and pitch for each ruled surface drawn by versor fields.

Keywords

Parallel $\mathcal{P}$-equidistant ruled surface , Myller configuration , versor fields , plane fields

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