Results 41 to 50 of about 4,861 (197)
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
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
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative [PDF]
, 2015 Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space.
Santana, Alexandre J. +1 more
core +1 more source
Smarandache-Based Ruled Surfaces with the Darboux Vector According to Frenet Frame in $E^3$
Journal of New Theory, 2022 The paper introduces a new kind of special ruled surface. The base of each ruled surface is taken to be one of the Smarandache curves of a given curve according to Frenet frame, and the generator (ruling) is chosen to be the corresponding unit Darboux ...
Elif Çan +2 more
doaj +1 more source
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 +12 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
MathematicsIn 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 +2 more
doaj +1 more source
Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
, 2008 In [arXiv:0803.3259] the equations describing the parallel transport of orthonormal frames along timelike (spacelike) geodesics in a spacetime admitting a non-degenerate principal conformal Killing-Yano 2-form h were solved.
B. Carter +8 more
core +1 more source
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 +5 more
wiley +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 +2 more
core +1 more source