Results 1 to 10 of about 195 (41)
Characterisation of cylindrical curves. [PDF]
Mon Hefte Math, 2015 We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular ...
Starostin EL, van der Heijden GH.
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Walls and asymptotics for Bridgeland stability conditions on 3-folds [PDF]
Épijournal de Géométrie Algébrique, 2022 We consider Bridgeland stability conditions for three-folds conjectured by Bayer-Macr\`i-Toda in the case of Picard rank one. We study the differential geometry of numerical walls, characterizing when they are bounded, discussing possible intersections ...
Marcos Jardim, Antony Maciocia
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Generalized Helicoidal Surfaces in Euclidean 5-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ...
Uçum Ali, Sakaki Makoto
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Generalized Rectifying Ruled Surfaces of Special Singular Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base ...
İşbilir Zehra +2 more
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Time-like Weingarten surfaces with real principal curvatures in the three-dimensional Minkowski space and their natural partial differential equations [PDF]
, 2012 We study time-like surfaces in the three-dimensional Minkowski space with diagonalizable second fundamental form. On any time-like W-surface we introduce locally natural principal parameters and prove that such a surface is determined uniquely (up to ...
Ganchev, Georgi, Mihova, Vesselka
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On the uniqueness of $L_p$-Minkowski problems: the constant $p$-curvature case in $\mathbb{R}^3$ [PDF]
, 2015 We study the $C^4$ smooth convex bodies $\mathbb{K}\subset\mathbb{R}^{n+1}$ satisfying $K(x)=u(x)^{1-p}$, where $x\in\mathbb{S}^n$, $K$ is the Gauss curvature of $\partial\mathbb{K}$, $u$ is the support function of $\mathbb{K}$, and $p$ is a constant. In
Andrews +49 more
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Siacci's Theorem According to Darboux Frame
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point
Ozen Kahraman Esen +2 more
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Confined structures of least bending energy [PDF]
, 2013 In this paper we study a constrained minimization problem for the Willmore functional. For prescribed surface area we consider smooth embeddings of the sphere into the unit ball.
Müller, Stefan, Röger, Matthias
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The Bj\"orling problem for non-minimal constant mean curvature surfaces [PDF]
, 2010 The classical Bj\"orling problem is to find the minimal surface containing a given real analytic curve with tangent planes prescribed along the curve. We consider the generalization of this problem to non-minimal constant mean curvature (CMC) surfaces ...
Brander, David, Dorfmeister, Josef F.
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Pseudospherical surfaces with singularities [PDF]
, 2016 We study a generalization of constant Gauss curvature -1 surfaces in Euclidean 3-space, based on Lorentzian harmonic maps, that we call pseudospherical frontals.
Brander, David
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