Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski space \(\mathbb E^4_1\) with pointwise 1-type Gauss map

DOI10.1007/s11040-014-9153-6zbMath1304.53013OpenAlexW2025103939MaRDI QIDQ471832

Uǧur Dursun, Burcu Bektaş

Publication date: 17 November 2014

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-014-9153-6

zbMATH Keywords

normal bundleparallel mean curvature vectorpointwise 1-type Gauss maprotational surfaceharmonic Gauss map

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Hypersurfaces with generalized 1-type Gauss maps ⋮ SOME CLASSIFICATIONS OF LORENTZIAN SURFACES WITH FINITE TYPE GAUSS MAP IN THE MINKOWSKI 4-SPACE ⋮ Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map ⋮ Minimal ruled submanifolds associated with Gauss map ⋮ Classifications of flat surfaces with generalized 1-type Gauss map in \(\mathbb L^{3}\) ⋮ Loxodromes on non-degenerate helicoidal surfaces in Minkowski space-time ⋮ Bour's theorem of spacelike surfaces in Minkowski 4-space

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