Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales

Year 2026, Volume: 7 Issue: 1, 30 - 46, 31.01.2026

Gülden Altay Suroğlu , Emrah Yılmaz

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

Product Time Scales , Ruled Surfaces , Partial Delta Derivatives

Ethical Statement

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

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