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http://dx.doi.org/10.4134/JKMS.j170535

A NEW TYPE OF TUBULAR SURFACE HAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE 𝔼4  

Kisi, Ilim (Department of Mathematics Kocaeli University)
Ozturk, Gunay (Department of Mathematics Arts and Science Faculty Izmir Democracy University)
Publication Information
Journal of the Korean Mathematical Society / v.55, no.4, 2018 , pp. 923-938 More about this Journal
Abstract
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;
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Times Cited By KSCI : 6  (Citation Analysis)
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