Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales

Gülden Altay Suroğlu; Emrah Yılmaz

doi:10.54974/fcmathsci.1589595

Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales

Abstract

In this study, we present the geometry of ruled surfaces on an arbitrary product time scale. We establish the mean and Gaussian curvatures of these surfaces on the relevant product time scale. Then, we derive the principal curvatures for the ruled surfaces, providing some examples for clarification.

Keywords

Ethical Statement

The authors declare that the materials and methods used in their study do not require ethical committee and/or legal special permission.

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry, Dynamical Systems in Applications

Journal Section

Research Article

Authors

Gülden Altay Suroğlu
0000-0003-1976-3465
Türkiye

Emrah Yılmaz ^*
0000-0002-7822-9193
Türkiye

Publication Date

January 31, 2026

Submission Date

November 22, 2024

Acceptance Date

September 10, 2025

Published in Issue

Year 2026 Volume: 7 Number: 1

DOI

https://doi.org/10.54974/fcmathsci.1589595

IZ

https://izlik.org/JA88FC25BE

Cite

RIS / Bibtex

APA

Altay Suroğlu, G., & Yılmaz, E. (2026). Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales. Fundamentals of Contemporary Mathematical Sciences, 7(1), 30-46. https://doi.org/10.54974/fcmathsci.1589595

AMA

1.Altay Suroğlu G, Yılmaz E. Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales. FCMS. 2026;7(1):30-46. doi:10.54974/fcmathsci.1589595

Chicago

Altay Suroğlu, Gülden, and Emrah Yılmaz. 2026. “Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales”. Fundamentals of Contemporary Mathematical Sciences 7 (1): 30-46. https://doi.org/10.54974/fcmathsci.1589595.

EndNote

Altay Suroğlu G, Yılmaz E (January 1, 2026) Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales. Fundamentals of Contemporary Mathematical Sciences 7 1 30–46.

IEEE

[1]G. Altay Suroğlu and E. Yılmaz, “Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales”, FCMS, vol. 7, no. 1, pp. 30–46, Jan. 2026, doi: 10.54974/fcmathsci.1589595.

ISNAD

Altay Suroğlu, Gülden - Yılmaz, Emrah. “Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales”. Fundamentals of Contemporary Mathematical Sciences 7/1 (January 1, 2026): 30-46. https://doi.org/10.54974/fcmathsci.1589595.

JAMA

1.Altay Suroğlu G, Yılmaz E. Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales. FCMS. 2026;7:30–46.

MLA

Altay Suroğlu, Gülden, and Emrah Yılmaz. “Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales”. Fundamentals of Contemporary Mathematical Sciences, vol. 7, no. 1, Jan. 2026, pp. 30-46, doi:10.54974/fcmathsci.1589595.

Vancouver

1.Gülden Altay Suroğlu, Emrah Yılmaz. Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales. FCMS. 2026 Jan. 1;7(1):30-46. doi:10.54974/fcmathsci.1589595