Results 31 to 40 of about 4,855 (191)

Spinor Darboux equations of curves in Euclidean 3-space [PDF]

Mathematica Moravica, 2015
In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between spinor formulation of Frenet frame and Darboux frame is obtained.
Kisi Ilim, Tosun Murat
doaj  

Quantum reference frames: derivation of perspective-dependent descriptions via a perspective-neutral structure [PDF]

Quantum, 2023
In standard quantum mechanics, reference frames are treated as abstract entities. We can think of them as idealized, infinite-mass subsystems which decouple from the rest of the system. In nature, however, all reference frames are realized through finite-
Viktor Zelezny
doaj   +1 more source

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, SAIA, Marcelo J., SÁNCHEZ, Luis F.   +2 more
openaire   +3 more sources

Smarandache Curves of the Evolute Curve According to Sabban Frame

Communications in Advanced Mathematical Sciences, 2020
The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves.
Süleyman Şenyurt, Yasin Altun
doaj   +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, Davut Canlı, Süleyman Şenyurt   +2 more
doaj   +1 more source

Lattice and q-difference Darboux-Zakharov-Manakov systems via $\bar{\partial}$-dressing method

, 1995
A general scheme is proposed for introduction of lattice and q-difference variables to integrable hierarchies in frame of $\bar{\partial}$-dressing method .
B G Konopelchenko, Bianchi L, Bogdanov L V, Bogdanov L V, Bogdanov L V, Carroll R, Darboux G, Dryuma V S, Dryuma V S, Dubrovin B, Dubrovin B, Dubrovin B A, Eisenhart L P, Forsyth A R, Konopelchenko B G, Konopelchenko B G, L V Bogdanov, Nijhoff F, Schief W K, Tsarev S P, Tsarev S P, Zakharov V E, Zakharov V E, Zakharov V E   +23 more
core   +1 more source

Non-commutative NLS-type hierarchies: dressing & solutions [PDF]

, 2019
We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia, Findlay, Iain, Sklaveniti, Spyridoula   +2 more
core   +2 more sources

Special Smarandache Curves According To Darboux Frame In E3

, 2012
15 ...
BEKTAŞ, ÖZCAN, YÜCE, SALİM
openaire   +4 more sources

The Bianchi-Darboux transform of L-isothermic surfaces

, 2000
We study an analogue of the classical Bianchi-Darboux transformation for L-isothermic surfaces in Laguerre geometry, the Bianchi-Darboux transformation.
Musso, E., Nicolodi, L.
core   +1 more source

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., Stelmastchuk, Simão N.   +1 more
core   +1 more source