Results 91 to 100 of about 1,762,917 (199)
On the Special Viviani’s Curve and Its Corresponding Smarandache Curves
MathematicsIn the present paper, the special Viviani’s curve is revisited in the context of Smarandache geometry. Accordingly, the paper first defines the special Smarandache curves of Viviani’s curve, including the Darboux vector.
Yangke Deng +4 more
doaj +1 more source
Lagrangian approximation of totally real concordances
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations ...
Georgios Dimitroglou Rizell
wiley +1 more source
Darboux integrals for Schrödinger planar vector fields via Darboux transformations
, 2011 In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the “invariance” of the elements of the “Darboux Theory of Integrability”. In particular, we also show how the shape invariance property of the potential is important in order to preserve the
Acosta Humánez, Primitivo Belén +1 more
openaire +1 more source
Slant spacelike ruled surfaces and their Bertrand offsets
Frontiers in PhysicsIn this work, we investigate the synthesis problem of slant spacelike ruled surfaces and associated Bertrand offsets (BO) in E13 (Minkowsk 3-space). We provide the parametric equation for a non-developable spacelike ruled surface (SLRS) by using the ...
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj +1 more source
Homothetic motions in Euclidean 3-space
Kuwait Journal of Science, 2014 A one-parameter homothetic motion of a rigid body in three-dimensional Euclidean space is defined by means of the Hamilton operators. We investigate some properties of this motion and show that it has only one pole point at every instant Furthermore ...
MEHDI JAFARI
doaj
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation.
Aristophanes Dimakis +1 more
doaj +1 more source
Direction Curves of Vectorial Moments with Respect to an Alternative Frame in Euclidean Space
Communications in Advanced Mathematical SciencesThis study introduces an alternative geometric framework for analyzing curves in three-dimensional Euclidean space. By constructing a set of alternative frame vectors and examining their corresponding derivative relations, a new perspective on the ...
Sıddıka Özkaldı Karakuş +2 more
doaj +1 more source
On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
doaj
Darboux Integrability For Polynomial Vector Fields Invariant Under Action of Finite Group
Qualitative Theory of Dynamical Systems, 2011 It is clear that a polynomial vector field of degree \(d\) in \(K^n\), with \(K \, = \, \mathbb{R}\) or \(K \, = \, \mathbb{C}\), admits a rational first integral if and only if it possesses an infinite number of invariant irreducible algebraic hypersurfaces. [\textit{J. P. Jouanolou}, Equations de Pfaff algébriques. Lecture Notes in Mathematics.
openaire +3 more sources
Total torsion of three-dimensional lines of curvature. [PDF]
Geom Dedic, 2023 Raffaelli M.
europepmc +1 more source