A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE C<sup>4</sup>

Yasin Ünlütürk; Süha Yimaz

호남수학회 호남수학학술지 A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE C⁴

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A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE C⁴

( Süha Yimaz ) , ( Yasin Ünlütürk )

호남수학회 2022.03

호남수학학술지 44권 1호 121-134(14pages)

UCI I410-ECN-0102-2023-400-000543759

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초록

In this study, we obtain the spherical images of minimal curves in the complex space in C⁴ which are obtained by translating Cartan frame vector fields to the centre of hypersphere, and present their properties such as becoming isotropic cubic, pseudo helix, and spherical involutes. Also, we examine minimal curves which are characterized by a system of differential equations.

키워드

1. Introduction
2. Preliminaries
3. Spherical images of minimal curves in C<sup>4</sup>
4. The differential equations characterizing a minimal curve in C<sup>4</sup>
References

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