INTERSECTIONS OF TWO RULED SURFACES CORRESPONDING TO CURVES ON THE UNIT DUAL SPHERE-Reference-Cited by-同舟云学术

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INTERSECTIONS OF TWO RULED SURFACES CORRESPONDING TO CURVES ON THE UNIT DUAL SPHERE

Published:2023-03-30 Issue:1 Volume:23 Page:129-136
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

ÖZTEMİR YUNUS¹,ÇALIŞKAN MUSTAFA¹

Affiliation:

1. Gazi University, Department of Mathematics, 06000 Ankara, Turkey.

Abstract

In this study, considering two different curves on the unit dual sphere, 〖DS〗^2, we investigate the intersection of two different ruled surfaces in R^3 by using E. Study mapping. The conditions for the intersection of these ruled surfaces in R^3 are expressed by theorems with bivariate functions. Finally, some examples are given to support the main results.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference13 articles.

1. O'Neill, B., Elementary Differential Geometry, Academic Press, New York, 1983.

2. Willmore, T. J., An Introduction to Differential Geometry, Clarendon Press, Oxford, 1959.

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

4. Karaca, E., Çalışkan, M., Journal of Science and Arts, 3(20), 573, 2020.

5. Altınkaya, A., Çalışkan, M., Cumhuriyet Science Journal, 4(42), 873, 2021.

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