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

Bahar Doğan Yazıcı

doi:10.31801/cfsuasmas.1591735

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

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

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Bahar Doğan Yazıcı ^*
0000-0001-5690-4840
Türkiye

Publication Date

December 24, 2025

Submission Date

November 26, 2024

Acceptance Date

June 17, 2025

Published in Issue

Year 2025 Volume: 74 Number: 4

DOI

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

IZ

https://izlik.org/JA29GM55UP

Cite

RIS / Bibtex

APA

Doğan Yazıcı, B. (2025). Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 74(4), 687-700. https://doi.org/10.31801/cfsuasmas.1591735

AMA

1.Doğan Yazıcı B. Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74(4):687-700. doi:10.31801/cfsuasmas.1591735

Chicago

Doğan Yazıcı, Bahar. 2025. “Properties of Parallel $\mathcal{P}$-Equidistant Ruled Surfaces With Myller Configuration”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 (4): 687-700. https://doi.org/10.31801/cfsuasmas.1591735.

EndNote

Doğan Yazıcı B (December 1, 2025) Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 4 687–700.

IEEE

[1]B. Doğan Yazıcı, “Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 74, no. 4, pp. 687–700, Dec. 2025, doi: 10.31801/cfsuasmas.1591735.

ISNAD

Doğan Yazıcı, Bahar. “Properties of Parallel $\mathcal{P}$-Equidistant Ruled Surfaces With Myller Configuration”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74/4 (December 1, 2025): 687-700. https://doi.org/10.31801/cfsuasmas.1591735.

JAMA

1.Doğan Yazıcı B. Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74:687–700.

MLA

Doğan Yazıcı, Bahar. “Properties of Parallel $\mathcal{P}$-Equidistant Ruled Surfaces With Myller Configuration”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 74, no. 4, Dec. 2025, pp. 687-00, doi:10.31801/cfsuasmas.1591735.

Vancouver

1.Bahar Doğan Yazıcı. Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025 Dec. 1;74(4):687-700. doi:10.31801/cfsuasmas.1591735