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http://dx.doi.org/10.4134/BKMS.2015.52.1.301

ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP  

Dursun, Ugur (Department of Mathematics Isik University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 301-312 More about this Journal
Abstract
In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-space $\mathbb{E}^4_1$ with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in $\mathbb{E}^4_1$.
Keywords
pointwise 1-type Gauss map; rotational surfaces; parallel mean curvature vector; normal bundle;
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Times Cited By KSCI : 3  (Citation Analysis)
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