General Rotational Surfaces Satisfying Delta x(T) = phi x(T)

Demirbas, Eray; Arslan, KADRİ; Bulca, BETÜL

doi:10.1007/s00009-021-01893-4

General Rotational Surfaces Satisfying Delta x(T) = phi x(T)

Demirbas E., Arslan K., Bulca B.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.19, no.1, 2022 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 19 Issue: 1
Publication Date: 2022
Doi Number: 10.1007/s00009-021-01893-4
Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
Keywords: General rotational surfaces, position vector field, finite type surfaces, pointwise 1-type Gauss map, EUCLIDEAN-SPACE E-4, 1-TYPE GAUSS MAP, MERIDIAN SURFACES, PRODUCT SURFACES, RULED SURFACES, SUBMANIFOLDS, REVOLUTION
Bursa Uludag University Affiliated: Yes

Abstract

In the present study we consider rotational surfaces in Euclidean 4-space whose canonical vector field x(T) satisfy the equality Delta x(T) = phi x(T). Further, we obtain some results related to three types of general rotational surfaces in E-4 satisfying this equality. We also give some examples related with these type of surfaces.