Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2018; 55(4): 923-938
Online first article June 1, 2018 Printed July 1, 2018
https://doi.org/10.4134/JKMS.j170535
Copyright © The Korean Mathematical Society.
A new type of tubular surface having pointwise $1$-type Gauss map in Euclidean $4$-space $\mathbb{E}^{4}$
Ilim Kisi, Gunay Ozturk
Kocaeli University, Izmir Democracy University
In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean $4$-space $\mathbb{E}^{4}$.
Keywords: tubular surface, parallel transport frame, Gauss map, pointwise $1$-type
MSC numbers: Primary 53C40; Secondary 53C42
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
On rotation surfaces in the Minkowski $3$-dimensional space with pointwise $1$-type gauss map
2004; 41(6): 1007-1021
-
Minimal surface system in Euclidean four-space
2023; 60(1): 71-90
-
On pointwise 1-type Gauss map of surfaces in $\mathbb E^3_1$ concerning Cheng-Yau operator
2017; 54(2): 381-397
-
Shape operator and Gauss map of pointwise 1-type
2015; 52(6): 1337-1346
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd