On spacelike rotational surfaces with pointwise 1-type Gauss map
Bull. Korean Math. Soc. 2015 Vol. 52, No. 1, 301-312
https://doi.org/10.4134/BKMS.2015.52.1.301
Printed January 31, 2015
U{\v g}ur Dursun
Isik University
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
MSC numbers : Primary 53B25, 53C55
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