Rotational embeddings in E^4 with pointwise 1-type gauss map

Authors

KADRİ ARSLAN
BENGÜ KILIÇ BAYRAM
BETÜL BULCA
YOUNG HO KİM
CENGİZHAN MURATHAN
GÜNAY ÖZTÜRK

DOI

10.3906/mat-0910-59

Abstract

In the present article we study the rotational embedded surfaces in E^4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E^4. The Otsuki (non-round) sphere in E^4 is one of the special examples of this surface. Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.

Keywords

Rotation surface, gauss map, finite type, Pointwise 1-type

First Page

493

Last Page

499

Recommended Citation

ARSLAN, KADRİ; BAYRAM, BENGÜ KILIÇ; BULCA, BETÜL; KİM, YOUNG HO; MURATHAN, CENGİZHAN; and ÖZTÜRK, GÜNAY (2011) "Rotational embeddings in E^4 with pointwise 1-type gauss map," Turkish Journal of Mathematics: Vol. 35: No. 3, Article 13. https://doi.org/10.3906/mat-0910-59
Available at: https://journals.tubitak.gov.tr/math/vol35/iss3/13