Complete classification of surfaces with a canonical principal direction in the Euclidean space \(\mathbb{E}^{3}\)
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Publication:539194
DOI10.2478/S11533-011-0001-7zbMath1222.53009arXiv1004.4255OpenAlexW1568439044MaRDI QIDQ539194
Marian Ioan Munteanu, Ana Irina Nistor
Publication date: 27 May 2011
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.4255
Related Items (15)
On surfaces endowed with canonical principal direction in Euclidean spaces ⋮ SURFACES IN 𝔼3MAKING CONSTANT ANGLE WITH KILLING VECTOR FIELDS ⋮ Unnamed Item ⋮ Eikonal hypersurfaces in the Euclidean \(n\)-space ⋮ Catacaustics of a hypersurface in the Euclidean \(n\)-space ⋮ Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space ⋮ Constant angle null hypersurfaces ⋮ CMC hypersurfaces with canonical principal direction in space forms ⋮ Timelike surfaces in \(N \times \mathbb{R}\) with a canonical null direction ⋮ Constant angle property and canonical principal directions for surfaces in \(\mathbb M^2(c)\times\mathbb R_1\) ⋮ Generalized constant ratio surfaces in \(\mathbb E^3\) ⋮ Hypersurfaces with a canonical principal direction ⋮ Semi Riemannian hypersurfaces with a canonical principal direction ⋮ 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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- Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\)
- Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction
- A New Approach on Constant Angle Surfaces in E^3
- Rotation Hypersurfaces in Spaces of Constant Curvature
- On a Generalization of the Catenoid
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