Results 1 to 10 of about 72,005 (141)

Contact Geometry of Curves [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group $G$. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit.
Peter J. Vassiliou
doaj   +6 more sources

Affine differential geometry of osculating hypersurfaces

Lietuvos Matematikos Rinkinys, 2012
Osculating surfaces of second order have been studied in classical affine differential geometry [1].  In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
doaj   +3 more sources

Quantum Statistical Manifolds

Entropy, 2018
Quantum information geometry studies families of quantum states by means of differential geometry. A new approach is followed with the intention to facilitate the introduction of a more general theory in subsequent work.
Jan Naudts
doaj   +3 more sources

Affine differential geometry analysis of human arm movements. [PDF]

Biol Cybern, 2007
Humans interact with their environment through sensory information and motor actions. These interactions may be understood via the underlying geometry of both perception and action. While the motor space is typically considered by default to be Euclidean, persistent behavioral observations point to a different underlying geometric structure.
Flash T, Handzel AA.
europepmc   +4 more sources

Spherically symmetric teleparallel geometries [PDF]

European Physical Journal C: Particles and Fields
We are interested in the development of spherically symmetric geometries in F(T) teleparallel gravity which are of physical importance. We first express the general forms for the spherically symmetric frame and the zero curvature, metric compatible, spin
A. A. Coley, A. Landry, R. J. van den Hoogen, D. D. McNutt   +3 more
doaj   +2 more sources

Geometrical frustration in nonlinear mechanics of screw dislocation [PDF]

Royal Society Open Science
The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations.
Shunsuke Kobayashi, Ryuichi Tarumi
doaj   +2 more sources

Cryptographic protection of RGB images using SPN over Eisenstein integer ring modulo Eisenstein prime [PDF]

Scientific Reports
This research introduces a fortified cryptographic paradigm for safeguarding RGB image data, founded upon a substitution–permutation network (SPN) architecture defined over the residue class rings of Eisenstein integers modulo a selected prime element ...
Muhammad Sajjad, Mushtaq K. Abdalrahem, Ebrahim E. Elsayed, Moin-ud-Din Junjua, Salman A. AlQahtani   +4 more
doaj   +2 more sources

Ordinary differential equations in affine geometry

Le Matematiche, 1996
The method of qualitative analysis is used, as applied to a class of fourth order, nonlinear ordinary differential equations, in order to classify, both locally and globally, two classes of hypersurfaces of decomposable type in affine geometry: those ...
Salvador Gigena
doaj   +2 more sources

Differential geometry of nonholonomic complexes NGr(1, n, 2n − 4) in n-dimensional affine space

Lietuvos Matematikos Rinkinys, 2023
In this article the differential geometry of the nonholonomic complex NGr(1, n, 2n − 4) in the n-dimensional affine space is studied. The classification of such complexes and geometric interpretations are given.
Kazimieras Navickis
doaj   +3 more sources

Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
doaj   +1 more source