Results 11 to 20 of about 256 (151)
HYPERSURFACES WITH POINTWISE 1-TYPE GAUSS MAP [PDF]
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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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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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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Lorentzian Submanifolds in Semi-Euclidean Spaces with Pointwise 1-Type Gauss Map [PDF]
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 [PDF]
, 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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Rotational embeddings in E^4 with pointwise 1-type gauss map [PDF]
Turkish Journal of Mathematics, 2011 In the present article we study the rotational embedded surfaces in E4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E4. The Otsuki (non-round) sphere in E4 is one of the special examples of this surface.
Arslan, Kadri +5 more
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POINTWISE 1-TYPE GAUSS MAP OF DEVELOPABLE SMARANDACHE RULED SURFACES IN $\mathbb{E}^{3}$ [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2023 In this paper, we study developable TN, TB, and NB-Smarandache ruled surface with pointwise 1-type Gauss map. In particular, we obtain every such developable TN-Smarandache ruled surface has constant mean curvature, developable TB Smarandache ruled surface is minimal if and only if the curve is a planar curve or helix, and developable NB-Smarandache ...
Stuti - Tamta, Ram Shankar Gupta
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Hypersurfaces with L_r - Pointwise 1-Type Gauss Map [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2018 In this paper, we study hypersurfaces in ?????????? whose Gauss map G satisfies the equation LrG = f(G + C) for a smooth function f and a constant vector C, where Lr is the linearized operator of the (r+1)-st mean curvature of the hypersurface, i.e., Lr(f) = Tr(Pr ????????f) for f ???
null null, Akram Mohammadpouri
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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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On special developable ruled surfaces with pointwise 1-type Gauss map [PDF]
Miskolc Mathematical Notes, 2021 Summary: In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are considered. The conditions for such surfaces to have 1-type Gauss map and also to be minimal are
Kaya, O., Önder, M.
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