Results 21 to 30 of about 117,814 (315)
GeoStamp: Detail Transfer Based on Mean Curvature Field
Mathematics, 2022 A shape detail transfer is the process of extracting the geometric details of a source region and transferring it onto a target region. In this paper, we present a simple and effective method, called GeoStamp, for transferring shape details using a ...
Jung-Ho Park +3 more
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Constant Mean Curvature Surfaces Along a Spacelike Curve
Cumhuriyet Science Journal, 2022 We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
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Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral
Modelling in Civil Environmental Engineering, 2022 The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness.
Broscăţeanu Ștefan Cezar
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Lietuvos Matematikos Rinkinys, 2010 In this article we generalize some classical formulas for curvatures of hypersurfaces in the n-dimensional Euclidean space using the homogeneous formulas.
Kazimieras Navickis
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Existence of mean curvature flow singularities with bounded mean curvature
Duke Mathematical Journal, 2023 44 pages, comments ...
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On Submanifolds with Harmonic Mean Curvature [PDF]
Proceedings of the American Mathematical Society, 1995 The classification of curves in E m {E^m} with harmonic mean curvature vector field in the normal bundle is obtained and then it is used to obtain some applications.
Barros, Manuel, Garay, Oscar J.
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Stability of helicoidal surfaces with constant mean curvature
International Journal of Mathematics for Industry, 2020 Motivated by an experimental result on the shape of liquid water supported by a small stainless helical wire, we find a class of stable helicoidal convex surfaces with constant mean curvature whose boundary consists of a single helix and two short arcs.
Yuta Hatakeyama, Miyuki Koiso
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On Total Shear Curvature of Surfaces in E^{n+2}
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺².
Kadri Arslan, Betül Bulca
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Journal of the European Mathematical Society, 2012 We assign a measure to an upper semicontinuous function which is subharmonic with respect to the mean curvature operator, so that it agrees with the mean curvature of its graph when the function is smooth. We prove that the measure is weakly continuous with respect to almost everywhere convergence.
Dai, Qiuyi +2 more
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