Constant angle property and canonical principal directions for surfaces in \(\mathbb M^2(c)\times\mathbb R_1\)

DOI10.1007/S00009-012-0219-ZzbMath1277.53018OpenAlexW1983559023MaRDI QIDQ1949866

Yu Fu, Ana Irina Nistor

Publication date: 17 May 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-012-0219-z

zbMATH Keywords

constant angle surfaceLorentzian product spacecanonical principal direction

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (15)

On surfaces endowed with canonical principal direction in Euclidean spaces ⋮ Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms ⋮ Unnamed Item ⋮ Eikonal hypersurfaces in the Euclidean \(n\)-space ⋮ Constant angle surfaces in the Lorentzian Heisenberg group ⋮ Constant angle surfaces in Lorentzian Berger spheres ⋮ Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space ⋮ On generalized constant ratio surfaces of higher codimension ⋮ Constant angle null hypersurfaces ⋮ Timelike surfaces in \(N \times \mathbb{R}\) with a canonical null direction ⋮ Generalized constant ratio surfaces in \(\mathbb E^3\) ⋮ Semi Riemannian hypersurfaces with a canonical principal direction ⋮ A new approach to minimal and maximal hypersurfaces in product spaces ⋮ Surfaces with a canonical principal direction and prescribed mean curvature ⋮ New classification results on surfaces with a canonical principal direction in the Minkowski 3-space

Cites Work

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• Constant angle surfaces in the Heisenberg group
• Constant angle surfaces in Minkowski space
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• Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\)
• Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
• Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
• Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction
• Constant Angle Surfaces in a warped product
• ON THE GEOMETRY OF CONSTANT ANGLE SURFACES IN Sol3
• A New Approach on Constant Angle Surfaces in E^3
• A note on spacelike surfaces in Minkowski 3-space

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