Results 21 to 30 of about 34,452,769 (227)
Space-Like Surfaces in the Minkowski Space with Pointwise 1-Type Gauss Maps
Ukrainian Mathematical Journal, 2019 We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces with pointwise 1-type Gauss maps ...
U. Dursun, N. C. Turgay
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Rotational embeddings in E^4 with pointwise 1-type gauss map
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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General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space E 2 4 [PDF]
Indian Journal of Pure and Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aksoyak, Ferdag Kahraman, Yayli, Yusuf
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Taiwanese Journal of Mathematics, 2016 In the present paper we consider a special class of spacelike surfaces in the Minkowski 4-space which are one-parameter systems of meridians of the rotational hypersurface with timelike or spacelike axis. They are called meridian surfaces of elliptic or hyperbolic type, respectively. We study these surfaces with respect to their Gauss map.
Arslan, Kadri, Milousheva, Velichka
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Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space 𝔾3
International Journal of Geometric Methods in Modern Physics, 2019 In this study, we handle the spherical product surface in Galilean [Formula: see text]-space [Formula: see text]. We calculate the Laplacian operator of the Gauss map of this surface. Then we give the necessary and sufficient conditions for spherical product surface to have harmonic Gauss map and we give a visualization of this type surface in [Formula:
KİŞİ, İLİM, Ozturk, Gunay
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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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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 ???
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SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP
Journal of the Korean Mathematical Society, 2005 A submanifold \(M\) of a Euclidean or pseudo-Euclidean space is said to have pointwise 1-type Gauss map \(G\) if it satisfies \[ \Delta G=f(G+C), \] where \(\Delta\) is the Laplace operator corresponding to the induced metric on \(M\), \(f\) a function on \(M\), and \(C\) a constant vector.
Chen, Bang-Yen +2 more
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SURFACES WITH POINTWISE 1-TYPE GAUSS MAP [PDF]
The Pure and Applied Mathematics, 2011 In this article, we study generalized slant cylindrical surfaces (GSCS`s) with pointwise 1-type Gauss map of the first and second kinds. Our main results state that GSCS`s with pointwise 1-type Gauss map of the first kind coincide with surfaces of revolution with constant mean curvature; and the right cones are the only polynomial kind GSCS`s with ...
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A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state [PDF]
, 2011 We analyze a finite element approximation of an elliptic optimal control problem with pointwise bounds on the gradient of the state variable. We derive convergence rates if the control space is discretized implicitly by the state equation. In contrast to
Ortner, Christoph +4 more
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