Results 41 to 50 of about 4,855 (191)

On the evolute offsets of ruled surfaces using the Darboux frame

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019
Summary: In this study, using Darboux frame \(\{\mathbf{T},\mathbf{g},\mathbf{n}\}\) of ruled surface \(\varphi(s,v)\), the evolute offsets \(\varphi^*(s,v)\) with Darboux frame \(\{\mathbf{T}^*,\mathbf{g}^*, \mathbf(n)^*\}\) of \(\varphi^*(s,v)\) are defined. Characteristic properties of \(\varphi^*(s, v)\) as a striction curve, distribution parameter
ŞENTÜRK, Gülsüm Yeliz, YÜCE, Salim
openaire   +5 more sources

Constructing solutions to the Bj\"orling problem for isothermic surfaces by structure preserving discretization [PDF]

, 2015
In this article, we study an analog of the Bj\"orling problem for isothermic surfaces (that are more general than minimal surfaces): given a real analytic curve $\gamma$ in ${\mathbb R}^3$, and two analytic non-vanishing orthogonal vector fields $v$ and $
A Cayley, AI Bobenko, AI Bobenko, AI Bobenko, D Brander, D Matthes, E Christoffel, F Burstall, G Darboux, J Cieśliński, K Stephenson, L Nirenberg, M Nagumo, O Schramm, U Bücking, U Hertrich-Jeromin, W Walter, WK Schief   +17 more
core   +2 more sources

Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame

Journal of New Theory, 2020
In this paper, we first introduce the evolute offset of non-cylindricalruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometricproperties of this evolute offset of non-cylindrical ruled surface are studied.
Gül Ugur Kaymanli
doaj  

On geometry of hypersurfaces of a pseudoconformal space of Lorentzian signature

, 1998
There are three types of hypersurfaces in a pseudoconformal space C^n_1 of Lorentzian signature: spacelike, timelike, and lightlike. These three types of hypersurfaces are considered in parallel.
Akivis, Akivis, Akivis, Beem, Chandrasekhar, Duggal, Klein, Klein, Kossowski, M.A. Akivis, O'Neill, Schiemankgk, V.V. Goldberg   +12 more
core   +1 more source

Exploring Harmonic Evolute Geometries Derived from Tubular Surfaces in Minkowski 3-Space Using the RM Darboux Frame

Mathematics
In this study, We explore for Minkowski 3-space E13 harmonic surfaces’ geometric features by employing a common tangent vector field along a curve situated on the surface.
Emad Solouma, Sayed Saber, Haci Mehmet Baskonus   +2 more
doaj   +1 more source

Environmental bias and elastic curves on surfaces

, 2014
The behavior of an elastic curve bound to a surface will reflect the geometry of its environment. This may occur in an obvious way: the curve may deform freely along directions tangent to the surface, but not along the surface normal.
Guven, Jemal, Valencia, Dulce María, Vázquez-Montejo, Pablo   +2 more
core   +1 more source

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

Geometric Kinematic Approach to Rigid Objects with Point Contact Based on A Local-Surface Frame

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
Controlling the relative motion between two contactingrigid bodies is necessary when manipulation and locomotion tasks areencountered in robotics. In this paper, we express the kinematics ofspin-rolling motion of rigid objects with point contact based on
Vahide Bulut
doaj   +1 more source

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.
ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang, Rodrigo T. Sato Martín de Almagro, Tengman Wang, Martina Stavole, Joachim Linn, Sigrid Leyendecker   +5 more
wiley   +1 more source

A Unified Rotation-Minimizing Darboux Framework for Curves and Relativistic Ruled Surfaces in Minkowski Three-Space

Axioms
We propose a comprehensive rotation-minimizing (RM) Darboux framework for the study of curve theory and relativistic ruled surfaces in Minkowski three-space E13.
Mona Bin-Asfour, Ghaliah Alhamzi, Emad Solouma, Sayed Saber   +3 more
doaj   +1 more source