Results 1 to 10 of about 592 (64)
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.
europepmc +2 more sources
Stationary-Angle Conditions and Bertrand Offsets in Timelike-Ruled Surfaces
Advances in Mathematical PhysicsMSC2020 Classification: 53A04, 53A05 ...
Areej A. Almoneef, Rashad A. Abdel-Baky
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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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Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
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Kinematic-geometry of a line trajectory and the invariants of the axodes
Demonstratio Mathematica, 2023 In this article, we investigate the relationships between the instantaneous invariants of a one-parameter spatial movement and the local invariants of the axodes.
Li Yanlin +2 more
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On the maximal mean curvature of a smooth surface [PDF]
, 2016 Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and for a given maximal mean curvature we provide smooth embeddings of the ball
Ferone, Vincenzo +2 more
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Quaternionic representation of the moving frame for surfaces in Euclidean three‐space and Lax pair
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 15, Page 755-762, 2004., 2004 The moving frame and associated Gauss‐Codazzi equations for surfaces in three‐space are introduced. A quaternionic representation is used to identify the Gauss‐Weingarten equation with a particular Lax representation. Several examples are given, such as the case of constant mean curvature.
Paul Bracken
wiley +1 more source
On new characterization of inextensible flows of space-like curves in de Sitter space
Open Mathematics, 2016 Elastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space.
Yeneroğlu Mustafa
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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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