Results 61 to 70 of about 1,762,917 (199)
Positive paths in diffeomorphism groups of manifolds with a contact distribution
Abstract Given a cooriented contact manifold (M,ξ)$(M,\xi)$, it is possible to define a notion of positivity on the group Diff(M)$\mathrm{Diff}(M)$ of diffeomorphisms of M$M$, by looking at paths of diffeomorphisms that are positively transverse to the contact distribution ξ$\xi$.
Jakob Hedicke
wiley +1 more source
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 +2 more
doaj +1 more source
Inverse Problems for multiple invariant curves [PDF]
Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors or Darboux first integrals are of special interest.
Cristopher, Colin +4 more
core
Simple Darboux points of polynomial planar vector fields
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
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
Alternative View of Inextensible Flows of Curves and Ruled Surfaces via Alternative Frame
In this paper, we present the evolutions of ruled surfaces generated by the principal normal, the principal normal’s derivative, and the Darboux vector fields along a space curve that are the elements of an alternative frame.
Ana Savić +3 more
doaj +1 more source
Hirota equation and the quantum plane
We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps.
Doliwa, Adam
core +1 more source
ABSTRACT We study the closeness between the Ablowitz–Ladik, Salerno, and discrete nonlinear Schrödinger lattices in regimes of small coupling ε$\varepsilon$ and small energy norm ρ$\rho$. Two approaches are compared: direct estimates in physical variables and a transformation to canonical symplectic coordinates via Darboux variables.
Marco Calabrese +2 more
wiley +1 more source
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 +3 more
doaj +1 more source
Duality properties of indicatrices of knots
The bridge index and superbridge index of a knot are important invariants in knot theory. We define the bridge map of a knot conformation, which is closely related to these two invariants, and interpret it in terms of the tangent indicatrix of the knot ...
A.S. McRae +19 more
core +1 more source

