Results 11 to 20 of about 34,452,769 (227)
Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map
MathematicsIn this study, constant angle ruled surfaces with a pointwise 1-type Gauss map, which is very useful in the classification of surfaces, are investigated in terms of the Frenet elements of the base curves of the ruled surfaces in Euclidean 3-space.
Vladimir Baltić +3 more
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MERIDIAN SURFACES IN 𝔼4WITH POINTWISE 1-TYPE GAUSS MAP [PDF]
Bulletin of the Korean Mathematical Society, 2014 11 ...
BULCA, BETÜL +2 more
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ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
Bulletin of the Korean Mathematical Society, 2015 Abstract. In this paper, we study a class of spacelike rotational surfacesin the Minkowski 4-space E 41 with meridian curves lying in 2-dimensionalspacelike planes and having pointwise 1-type Gauss map. We obtain allsuch surfaces with pointwise 1-type Gauss map of the first kind.
Dursun, Uğur
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TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP [PDF]
Bulletin of the Korean Mathematical Society, 2011 Tensor product immersions of a given Riemannian manifold was initiated by B.-Y. Chen. In the present article we study the tensor product surfaces of two Euclidean plane curves. We show that a tensor product surface M of a plane circle c1 centered at origin with an Euclidean planar curve c2 has harmonic Gauss map if and only if M is a part of a plane ...
Arslan, Kadri +5 more
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HYPERSURFACES WITH POINTWISE 1-TYPE GAUSS MAP
Taiwanese Journal of Mathematics, 2007 In this paper we prove that an oriented hypersurface $M$ of a Euclidean space $E^{n+1}$ has pointwise 1-type Gauss map of the first kind if and only if $M$ has constant mean curvature. Then we conclude that all oriented isoparametric hypersurfaces of $E^{n+1}$ has 1-type Gauss map.
Uǧur Dursun
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Rotational hypersurfaces with $L_r$-pointwise 1-type Gauss map [PDF]
Boletim da Sociedade Paranaense de Matemática, 2018 In this paper, we study hypersurfaces in $\E^{n+1}$ which Gauss map $G$ satisfies the equation $L_rG = f(G + C)$ for a smooth function $f$ and a constant vector $C$, where $L_r$ is the linearized operator of the $(r + 1)$th mean curvature of the hypersurface, i.e., $L_r(f)=tr(P_r\circ\nabla^2f)$ for $f\in \mathcal{C}^\infty(M)$, where $P_r$ is the $r ...
Akram Mohammadpouri
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Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions [PDF]
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2018 In this article, the authors consider a class of surfaces in \(\mathbb{R}^4\) endowed with the flat metric: \(g = dx_0^2 + \alpha dx_1^2 + \beta dx_2^2 + \alpha \beta dx_3^2,\) where \(\alpha, \beta\) are (nonzero) real numbers. The most important special cases are the Euclidean and split-signature cases, corresponding to \((\alpha,\beta)\) being \((1 ...
Kahraman Aksoyak, Ferdağ, Yaylı, Yusuf
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Lorentzian Submanifolds in Semi-Euclidean Spaces with Pointwise 1-Type Gauss Map
Geometry, Integrability and Quantization, 2016 In this work first, we survey the most recent classification results for submanifolds with pointwise 1-type Gauss map. Then, we study a class of hypersurfaces with vanishing Gauss-Kronecker curvature in terms of type of their Gauss map.
Turgay, Nurettin C.
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VRANCEANU SURFACE IN E-4 WITH POINTWISE 1-TYPE GAUSS MAP
, 2011 In this article we investigate Vranceanu rotation surfaces with pointwise 1-type Gauss map in Euclidean 4-space E-4. We show that a Vranceanu rotation surface M has harmonic Gauss map if and only if M is a part of a plane. Further, we give necessary and sufficent conditions for Vranceanu rotation surface to have pointwise 1-type Gauss map.
Arslan, Kadri +5 more
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On Tensor Product Surfaces of Lorentzian Planar Curves with Pointwise 1-Type Gauss Map [PDF]
International Electronic Journal of Geometry, 2016 In this article, we study the tensor product surfaces of two Lorentzian planar,non-null curves to have pointwise 1-type Gauss map.
Yildirim, Mehmet
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