E3'te Adjoint Eğriler ile İlişkili Normal Yüzeyler-Reference-Cited by-同舟云学术

E3'te Adjoint Eğriler ile İlişkili Normal Yüzeyler

Published:2022-09-30 Issue:3 Volume:11 Page:779-783
ISSN:2147-3129
Container-title:Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
language:en
Short-container-title:

Author:

KÖRPINAR Talat¹,SAZAK Ahmet¹

Affiliation:

1. MUŞ ALPARSLAN ÜNİVERSİTESİ

Abstract

In this study, we work on the surfaces determined in relation to associated curves. We study normal surfaces defined with the help of adjoint curves, a special type of associated curve. For this, we first remember the basic equations of the 3-dimensional Euclidean space, which is the space we work with, and the adjoint curve issue. Then, by computing the first and second fundamental forms, principal curvatures and Gaussian and mean curvatures of the normal surface of an adjoint curve, we obtain the characterizations of this surface and related some results.

Publisher

Bitlis Eren Universitesi Fen Bilimleri Dergisi

Subject

Earth-Surface Processes

Reference17 articles.

1. M. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, Englewood Cliffs, 1976.

2. S. K. Nurkan, I. A. Güven and M. K. Karacan, "Characterizations of adjoint curves in Euclidean 3-space", Proc Natl Acad Sci. India Sect A Phys Sci., vol. 89, pp. 155-161, 2019.

3. G. U. Kaymanli, S. Okur and C. Ekici, "The Ruled Surfaces Generated By Quasi Vectors", IV. International Scientific and Vocational Studies Congress - Science and Health, Ankara, Turkey, November, 2019.

4. R. Lopez, "Differential geometry of curves and surfaces in Lorentz-Minkowski space", MiniCourse taught at IME-USP, Sao Paulo, Brasil, October, 2008.

5. F. Sakai, "Weil divisors on normal surfaces", Duke Mathematical Journal, vol. 51, no. 4, pp. 877-887, 1984.