Results 1 to 10 of about 25,720 (229)
Monodromy and K-theory of Schubert curves via generalized jeu de taquin [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We establish a combinatorial connection between the real geometry and the K-theory of complex Schubert curves Spλ‚q, which are one-dimensional Schubert problems defined with respect to flags osculating the rational normal curve.
Maria Monks Gillespie, Jake Levinson
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Rectifiable Curves in Proximally Smooth Sets [PDF]
Set-Valued and Variational Analysis, 2021 We provide an algorithm of constructing a rectifiable curve between two sufficiently close points of a proximally smooth set in a uniformly convex and uniformly smooth Banach space. Our algorithm returns a reasonably short curve between two sufficiently close points of a proximally smooth set, is iterative and uses a certain modification of the metric ...
Grigory Ivanov, Mariana S. Lopushanski
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Rectifying curves under conformal transformation [PDF]
Journal of Geometry and Physics, 2021 The main aim of this paper is to investigate the nature of invariancy of rectifying curve under conformal transformation and obtain a sufficient condition for which such a curve remains conformally invariant. It is shown that the normal component and the geodesic curvature of the rectifying curve is homothetic invariant.
Absos Ali Shaikh +2 more
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Characterization of Rectifying Curves by Their Involutes and Evolutes
Mathematics, 2021 A rectifying curve is a twisted curve with the property that all of its rectifying planes pass through a fixed point. If this point is the origin of the Cartesian coordinate system, then the position vector of the rectifying curve always lies in the ...
Marilena Jianu +5 more
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Some Aspects of Rectifying Curves on Regular Surfaces Under Different Transformations
International Journal of Analysis and Applications, 2023 An essential space curve in the study of differential geometry is the rectifying curve. In this paper, we studied the adequate requirement for a rectifying curve under the isometry of the surfaces.
Sandeep Sharma, Kuljeet Singh
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Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$
Journal of Mathematical Sciences and Modelling, 2022 In this present paper, rectifying curves are re-characterized in a shorter and simpler way using harmonic curvatures and some relations between rectifying curves and focal curves are found in terms of their harmonic curvature functions in $n-$dimensional
Yusuf Yaylı +2 more
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A Study on $f$-Rectifying Curves in Euclidean $n$-Space
Universal Journal of Mathematics and Applications, 2021 A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized curve $\gamma$ in $\mathbb{E}^n$ such that its position vector always lies in its rectifying space (i.e., the orthogonal complement of its principal ...
Zafar Iqbal, Joydeep Sengupta
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Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space
Mathematics, 2021 In this work, the rectifying isotropic curves are investigated in three-dimensional complex space C3. The conclusion that an isotropic curve is a rectifying curve if and only if its pseudo curvature is a linear function of its pseudo arc-length is ...
Jinhua Qian +3 more
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Some characterizations of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$
AIMS Mathematics, 2021 This paper gives several properties and characterization of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D% }_{1}^{3}$. In considering a causal character of a dual curve we give some parameterization of rectifying dual curves, and a ...
Roa Makki
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Equiform rectifying curves in Galilean space G4
Scientific African, 2023 This research paper presents the equiform rectifying curves in Galilean space G4, and establish the relation between equiform curves and their equiform curvature functions.
M. Elzawy, S. Mosa
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