Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms

In 1991, Chen and Ishikawa initially studied biharmonic marginally trapped surfaces in neutral pseudo-Euclidean 4-space. Recently, biharmonic and quasi-biharmonic marginally trapped Lagrangian surfaces in Lorentzian complex space forms were studied by Sasahara in 2007 and 2011, respectively. In this...

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Main Author: Yu Fu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/412709
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author Yu Fu
author_facet Yu Fu
author_sort Yu Fu
collection DOAJ
description In 1991, Chen and Ishikawa initially studied biharmonic marginally trapped surfaces in neutral pseudo-Euclidean 4-space. Recently, biharmonic and quasi-biharmonic marginally trapped Lagrangian surfaces in Lorentzian complex space forms were studied by Sasahara in 2007 and 2011, respectively. In this paper we extend Sasahara's results to the case of slant surfaces in Lorentzian complex space forms. By results, we completely classify biharmonic marginally trapped slant surfaces and quasi-biharmonic marginally trapped slant surfaces in Lorentzian complex space forms.
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spelling doaj-art-3b8af9a643874dccbde50b1aab3d46222025-02-03T01:12:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/412709412709Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space FormsYu Fu0School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, ChinaIn 1991, Chen and Ishikawa initially studied biharmonic marginally trapped surfaces in neutral pseudo-Euclidean 4-space. Recently, biharmonic and quasi-biharmonic marginally trapped Lagrangian surfaces in Lorentzian complex space forms were studied by Sasahara in 2007 and 2011, respectively. In this paper we extend Sasahara's results to the case of slant surfaces in Lorentzian complex space forms. By results, we completely classify biharmonic marginally trapped slant surfaces and quasi-biharmonic marginally trapped slant surfaces in Lorentzian complex space forms.http://dx.doi.org/10.1155/2013/412709
spellingShingle Yu Fu
Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms
Abstract and Applied Analysis
title Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms
title_full Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms
title_fullStr Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms
title_full_unstemmed Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms
title_short Biharmonic and Quasi-Biharmonic Slant Surfaces in Lorentzian Complex Space Forms
title_sort biharmonic and quasi biharmonic slant surfaces in lorentzian complex space forms
url http://dx.doi.org/10.1155/2013/412709
work_keys_str_mv AT yufu biharmonicandquasibiharmonicslantsurfacesinlorentziancomplexspaceforms