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

Yu Fu | Zendy

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

Author(s) -

Yu Fu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/412709

Subject(s) - biharmonic equation , mathematics , space (punctuation) , euclidean space , complex space , euclidean geometry , mathematical analysis , pure mathematics , geometry , boundary value problem , philosophy , linguistics , affine transformation

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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