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2009 Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms
Bang-Yen Chen, Joeri Van der Veken
Tohoku Math. J. (2) 61(1): 1-40 (2009). DOI: 10.2748/tmj/1238764545

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.

Citation

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Bang-Yen Chen. Joeri Van der Veken. "Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms." Tohoku Math. J. (2) 61 (1) 1 - 40, 2009. https://doi.org/10.2748/tmj/1238764545

Information

Published: 2009
First available in Project Euclid: 3 April 2009

zbMATH: 1182.53018
MathSciNet: MR2501861
Digital Object Identifier: 10.2748/tmj/1238764545

Subjects:
Primary: 53B25
Secondary: 53C50 , 83C15

Keywords: Lorentzian space form , parallel second fundamental form , parallel surface , surface with parallel mean curvature vector

Rights: Copyright © 2009 Tohoku University

Vol.61 • No. 1 • 2009
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