Spherical product hypersurfaces in Euclidean spaces

Authors

SEZGİN BÜYÜKKÜTÜKFollow
GÜNAY ÖZTÜRKFollow

Author ORCID Identifier

GÜNAY ÖZTÜRK: 0000-0002-1608-0354

SEZGİN BÜYÜKKÜTÜK: 0000-0002-1845-0822

DOI

10.55730/1300-0098.3548

Abstract

Spherical product surfaces are obtained with the help of a special product by considering two curves inn−dimensional space. One of their special cases is rotational surface. The reason why the present study is significantthat the spherical product is used to construct hypersurfaces. (n−1)−curves are needed during this construction. Firstly,the spherical product hypersurfaces are defined in E4 , Gaussian and mean curvature are yielded and then conditionsbeing flat or minimal are examined. Moreover, superquadrics, which are associated with spherical product, are handledfor the first time in hypersurface form and give some examples. Finally, spherical product hypersurfaces are generalizedto n−dimensional Euclidean space and contribute to literature.

Keywords

Hypersurface, spherical product, superquadrics

First Page

903

Last Page

913

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

BÜYÜKKÜTÜK, SEZGİN and ÖZTÜRK, GÜNAY (2024) "Spherical product hypersurfaces in Euclidean spaces," Turkish Journal of Mathematics: Vol. 48: No. 5, Article 7. https://doi.org/10.55730/1300-0098.3548
Available at: https://journals.tubitak.gov.tr/math/vol48/iss5/7