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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2013-01-01
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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. |
format | Article |
id | doaj-art-3b8af9a643874dccbde50b1aab3d4622 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
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 |