COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS

DOI10.1142/S0129167X10006276zbMath1192.53016OpenAlexW2019106006MaRDI QIDQ3566779

Bang-Yen Chen, Joeri Van der Veken, Frankie Dillen

Publication date: 10 June 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x10006276

zbMATH Keywords

parallel second fundamental formLorentzian surfaceLorentzian complex space form

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)

Related Items (4)

Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space ⋮ Classification results for \(\lambda\)-biminimal surfaces in 2-dimensional complex space forms ⋮ Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces ⋮ Complete classification of parallel Lorentz surfaces in four-dimensional neutral pseudosphere

Cites Work

• Classification of Lagrangian surfaces of constant curvature in complex projective plane
• Isometric immersions of Lorentz space with parallel second fundamental forms
• Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms
• On symmetric submanifolds of spaces of constant curvature
• Immersions with parallel second fundamental form
• Differential geometry of Kaehler submanifolds
• A complete classification of parallel surfaces in three-dimensional homogeneous spaces
• LORENTZIAN SYMMETRIC THREE-SPACES AND THE CLASSIFICATION OF THEIR PARALLEL SURFACES
• Parallel submanifolds of complex space forms II
• Parallel submanifolds of complex space forms I

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