SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE

DOI10.1017/S1446788715000208zbMath1331.53025arXiv1311.1961OpenAlexW2284542912MaRDI QIDQ3458373

Nurettin Cenk Turgay

Publication date: 18 December 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1961

zbMATH Keywords

constant mean curvatureMinkowski spacetimepointwise 1-type Gauss mapLorentzian surfacesfinite type mappings

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Birotational hypersurface and the second Laplace-Beltrami operator in the four dimensional Euclidean space ${\mathbb{E}}^{4}$ ⋮ Unnamed Item ⋮ Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map

Cites Work

• Biharmonic surfaces of constant mean curvature
• Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski space \(\mathbb E^4_1\) with pointwise 1-type Gauss map
• Classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces
• Energy, tension and finite type maps
• Extrinsic bounds on \(\lambda_1\) of \(\Delta\) on a compact manifold
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• On Lorentzian surfaces with \(H^{2}=K\) in Minkowski 3-space
• On the marginally trapped surfaces in 4-dimensional space-times with finite type Gauss map
• Total Mean Curvature and Submanifolds of Finite Type
• Marginally trapped surfaces in Lorentzian space forms with positive relative nullity
• Submanifolds with finite type Gauss map

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