TY  - JOUR
T1  - Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-Type Gauss Map
AU  - Sağdiç, Mustafa
AU  - Turgay, Nurettin Cenk
AU  - Kılıç, Erol
PY  - 2025
DA  - April
Y2  - 2024
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 48
EP  - 59
VL  - 18
IS  - 1
LA  - en
AB  - In this paper, we consider simple rotational surfaces in the Euclidean 4-space $\mathbb E^4$ with the profile curve contained in a 2-plane. In terms of having generalized 1-type Gauss map, we obtain some classification results of minimal surfaces, flat simple rotational surfaces and simple rotational surfaces with constant Gaussian curvature.
KW  - Submanifolds with finite type Gauss map
KW  - surfaces with finite type Gauss ma
KW  - rotational surfaces with generalized 1-type Gauss map
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UR  - https://dergipark.org.tr/en/pub/iejg/issue//1482641
L1  - https://dergipark.org.tr/en/download/article-file/3924003
ER  -