Results 41 to 50 of about 252 (177)
Alternative View of Inextensible Flows of Curves and Ruled Surfaces via Alternative Frame
MathematicsIn this paper, we present the evolutions of ruled surfaces generated by the principal normal, the principal normal’s derivative, and the Darboux vector fields along a space curve that are the elements of an alternative frame.
Ana Savić +3 more
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Remote Sensing, 2023 Three-dimensional (3D) reconstruction is an essential technique to visualize and monitor the growth of agricultural and forestry plants. However, inspecting tall plants (trees) remains a challenging task for single-camera systems.
Yeping Peng +3 more
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Special Smarandache Curves According To Darboux Frame In E3
, 2012 15 ...
YÜCE, SALİM, BEKTAŞ, ÖZCAN
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Shape Operator via Darboux Frame Curvatures and Its Applications
International Electronic Journal of Geometry, 2019 Summary: We present the shape operator's matrix of a surface along a surface curve. By using the obtained matrix, we give a short proof of the Beltrami-Enneper theorem. Also, we give a new method for determining the well-known geodesic curves of a plane, a sphere and a circular cylinder by using the relation between the ordinary curvatures of the ...
DÜLDÜL, Bahar Uyar, DÜLDÜL, Mustfa
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source
ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this work, we compare the Darboux frame and the Frenet frame of a null curve lying on a spacelike surface in the three-dimensional Lorentz space, and we show that the normal curvature of the curve is a constant.
A. Ceylan ÇÖKEN
doaj
Equiaffine Darboux frames for codimension 2 submanifolds contained in hypersurfaces
Journal of the Mathematical Society of Japan, 2017 Consider a codimension $1$ submanifold $N^n\subset M^{n+1}$, where $M^{n+1}\subset\mathbb{R}^{n+2}$ is a hypersurface. The envelope of tangent spaces of $M$ along $N$ generalizes the concept of tangent developable surface of a surface along a curve. In this paper, we study the singularities of these envelopes.
CRAIZER, Marcos +2 more
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Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a symmetry‐compatible exact linearisation of the Korteweg–de Vries (KdV) equation through an auxiliary‐field splitting based on Q = νfx. The term ‘symmetry’ is used here in a structural sense; the linear operator is held fixed across solution families, rather than in the sense of Lie point symmetry groups.
Jorge Rodolfo Silva Zabadal +4 more
wiley +1 more source
On The Spacelike Parallel Ruled Surfaces With Darboux Frame
, 2016 In this study, the spacelike parallel ruled surfaces with Darboux frame are introduced in Minkowski 3-space. Then some characteristic properties of the spacelike parallel ruled surfaces with Darboux frame such as developability, the striction point and the distribution parameter are obtained in Minkowski 3-space.
ÇİMDİKER, MURADİYE, EKİCİ, CUMALİ
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