Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 5, Issue 3


Published
on

December 23, 2020


Pages

208-213


DOI

Article

A new study on focal surface of a given surface

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Authors

Ilim Kisi Affiliation:
Department of Mathematics, Kocaeli University, Kocaeli, Turkey.
and Gunay Orturk Affiliation:
Department of Mathematics, I˙zmir Demokrasi University, I˙zmir, Turkey.


Abstract

Focal surfaces are special cases of line congruences. With the aid of the definition of a focal surface of a given surface M, we obtain a new type of focal surface in Galilean 3-space G3. We show that the focal surface we found is not the same type of surface as the given surface. We present the visualizations of the focal surface and the given surface with an example. Lastly, by searching the curvature functions, we give the minimality conditions of the focal surface.


Keywords

Line congruence, focal surface, tubular surface, Galilen Space.


Citation

Kisi, I. & Orturk, G. (2020). A new study on focal surface of a given surface. Turkish Journal of Science, 5(3), 208–213. https://doi.org/10.66833/TJOS-2020-0022

Published by: Engineering Journals

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