Results 41 to 50 of about 98 (90)
Some aspects of normal curve on smooth surface under isometry
Demonstratio MathematicaThe normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, for the orthogonal group G = O(2) and special orthogonal group G = O+(2) global G-invariants of plane paths and plane curves in two-dimensional Euclidean space E2 are studied.
Khadjiev Djavvat, Ören İdris
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Radial-axial runner blade as a differentiable manifold with conformal mapping
Open EngineeringThis article is closely tied to the author’s Radial-axial runner blade design using the coordinate slice technique. It picks up the thread of the content and follows as stated in the Future development section with conformal mapping of camber curves. The
Koudelka Libor
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Characterization of Speherical Helices in Euclidean 3-Space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we calculate Frenet frames of the tangent indicatrix (t), principal normal indicatrix (n) and binormal indicatrix (b) of the curve α in ℝ3 which are spherical curves.
Ekmekci Nejat +2 more
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The Pólya f-curvature of plane curves
We introduce and study a new curvature function for plane curves inspired by the weighted mean curvature of M. Gromov. We call it Pólya, being the difference between the usual curvature and the inner product of the normal vector field with the Pólya ...
PRIPOAE, Gabriel-Teodor +1 more
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Involutes of fronts in the Euclidean plane [PDF]
application/pdfFor a regular plane curve, an involute of it is the trajectory described by the end of a stretched string unwinding from a point of the curve. Even for a regular curve, the involute always has a singularity.
福永, 知則 +5 more
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Demonstratio MathematicaAn osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet +2 more
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Pedal and negative pedal surfaces of framed curves in the Euclidean 3-space
Open MathematicsWe define pedal and negative pedal surfaces of framed curves in the Euclidean 3-space and find that the loci of singularities of them are pedal and negative pedal curves, respectively. Moreover, we give sufficient conditions that pedal and negative pedal
Yao Kaixin, Pei Donghe
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A new frame for non-lightlike curves in Minkowski 3-space: hybrid frame
Demonstratio MathematicaIn this study, we introduce a hybrid frame consisting of elliptic, hyperbolic, and parabolic vectors for the study of non-lightlike curves in Minkowski 3-space.
Öztürk İskender +2 more
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Construction of new curves on nth degree polynomial-type curves using the Flc frame
Demonstratio MathematicaIn this study, first, the pedal curves were defined as the geometric locus of perpendicular projections onto the Frenet-like frame (Flc) vectors T, D 2, and D 1 of a given polynomial curve.
Şenyurt Süleyman, Damar Esra
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