Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
COMPLETE CLASSIFICATION OF PARALLEL SURFACES IN 4-DIMENSIONAL LORENTZIAN SPACE FORMS
BANG-YEN CHEN, JOERI VAN DER VEKEN
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Keywords: Lorentzian space form, parallel second fundamental form, surface with parallel mean curvature vector, parallel surface
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2009 Volume 61 Issue 1 Pages 1-40

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Abstract
In this paper we completely classify parallel non-degenerate surfaces in 4-dimensional Lorentzian space forms. In addition, we also completely classify non-degenerate surfaces with parallel mean curvature vector in 4-dimensional Lorentzian space forms.
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© 2009 by THE TOHOKU UNIVERSITY
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