\(B\)-scrolls with non-diagonalizable shape operators.
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Publication:1414975
DOI10.1216/RMJM/1181069992zbMath1055.53013OpenAlexW2066764198MaRDI QIDQ1414975
Publication date: 3 December 2003
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol33-1/CONT33-1/CONT33-1.html
Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (6)
Generalized null 2-type surfaces in Minkowski 3-space ⋮ Polyharmonic hypersurfaces into pseudo-Riemannian space forms ⋮ Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space ⋮ Structures and properties of null scroll in Minkowski 3-space ⋮ Classification of \(\eta \)-biharmonic surfaces in non-flat Lorentz space forms ⋮ Ruled surfaces with lightlike ruling in 3-Minkowski space
Cites Work
- On surfaces in the 3-dimensional Lorentz-Minkowski space
- Isoparametric hypersurfaces in the pseudo-Riemannian space forms
- Isometric immersions of Lorentz space with parallel second fundamental forms
- Finite type submanifolds in pseudo-Euclidean spaces and applications
- A characteristic eigenfunction for minimal hypersurfaces in space forms
- A classification of certain 3-dimensional conformally flat Euclidean hypersurfaces
- 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\)
- Some classification theorems for submanifolds in Minkowski space-time
- Lorentzian isoparametric hypersurfaces
- Minimal immersions of Riemannian manifolds
- Codimension One Isometric Immersions Between Lorentz Spaces
- A Local Classification of 2-Type Surfaces in S 3
- Null 2-Type Hypersurfaces in a Lorentz Space
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