ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

Title & Authors
ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
Dursun, Ugur;

Abstract
In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-space $\small{\mathbb{E}^4_1}$ 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 $\small{\mathbb{E}^4_1}$.
Keywords
pointwise 1-type Gauss map;rotational surfaces;parallel mean curvature vector;normal bundle;
Language
English
Cited by
1.
General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric, Bulletin of the Malaysian Mathematical Sciences Society, 2016
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