Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 7, Issue 2


Published
on

September 2, 2022


Pages

75-84


DOI

Article

Tubular Hypersurfaces According to Extended Darboux Frame Field of First Kind in E^4

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Authors

Mustafa Altın Affiliation:
Technical Sciences Vocational School, Bingo¨l University, Bingo¨l, Turkey
and Ahmet Kazan Affiliation:
Department of Computer Technologies, Dogansehir Vahap Kucuk Vocational School, Malatya Turgut Ozal University, Malatya, Turkey


Abstract

In this paper, we study tubular hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space. We obtain the Gaussian and mean curvatures of tubular hypersurfaces according to extended Darboux frame field of first kind and give some results for them. Also, we prove a theorem about linear Weingarten tubular hypersurface and construct an example.


Keywords

Tubular hypersurface, Extended Darboux frame field of First Kind, Linear Weingarten hypersurface.


Citation

Altın, M. & Kazan, A. (2022). Tubular hypersurfaces according to extended darboux frame field of first kind in E^4. Turkish Journal of Science, 7(2), 75–84. https://doi.org/10.66833/TJOS-2022-0009

Published by: Engineering Journals

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