Meridian surfaces of elliptic or hyperbolic type with pointwise 1-type Gauss map in Minkowski 4-space
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Date
2015-08-03
Authors
Milousheva, Velichka
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematical Soc Rep China
Abstract
In the present paper we consider a special class of spacelike surfaces in the Minkowski 4-space which are one-parameter systems of meridians of the rotational hypersurface with timelike or spacelike axis. They are called meridian surfaces of elliptic or hyperbolic type, respectively. We study these surfaces with respect to their Gauss map. We find all meridian surfaces of elliptic or hyperbolic type with harmonic Gauss map and give the complete classification of meridian surfaces of elliptic or hyperbolic type with pointwise 1-type Gauss map.
Description
Keywords
Mathematics, Meridian surfaces in Minkowski space, Finite type immersions, Harmonic Gauss map, Pointwise 1-type Gauss map, Ruled surfaces
Citation
Arslan, K. ve Milousheva, V. (2016). "Meridian surfaces of elliptic or hyperbolic type with pointwise 1-type Gauss map in Minkowski 4-space". Taiwanese Journal of Mathematics, 20(2), 311-332.