Behavior of spatial curves under different transformations in Euclidean 4-space
Year: 2025
Type: article
Abstract: This study investigates the conditions under which various curves maintain their characteristics when mapped between two regular surfaces in four-dimensional Euclidean space E 4 {{\mathbb{E}}}^{4} . We particularly focus on rectifying, osculating, and normal curves, examining their behavior under isometric, conformal, and homothetic conformal maps. By analyzing their behavior, this study reveals conditions under which these curves remain invariant when mapped between two surfaces. The findings contribute to a deeper understanding of geometric transformations in four-dimensional spaces.
Source: Demonstratio Mathematica
Institution: Shri Mata Vaishno Devi University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4412763194