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Ahmet Kazan

CANAL HYPERSURFACES ACCORDING TO ONE OF THE EXTENDED DARBOUX FRAME FIELD IN EUCLIDEAN 4-SPACE

ABSTRACT
In the present study, we deal with canal hypersurfaces according to extended Darboux frame field of second kind in Euclidean 4-space (E4) and in this context, firstly we obtain the Gaussian, mean and principal curvatures of the canal hypersurface according to extended Darboux frame field of second kind and give some results for flatness and minimality of these hypersurfaces in E4. Also, we give some results for Weingarten canal hypersurfaces according to extended Darboux frame field of second kind in E4 and finally, we construct an example.
KEYWORDS
canal hypersurface, extended Darboux frame field of second kind, tubular hypersurface
PAPER SUBMITTED: 2021-06-19
PAPER REVISED: 2021-11-01
PAPER ACCEPTED: 2022-05-06
PUBLISHED ONLINE: 2022-07-23
DOI REFERENCE: https://doi.org/10.2298/TSCI2204029K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 4, PAGES [3029 - 3041]
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Canal hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space

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