Results 61 to 70 of about 1,619,181 (215)

Positive paths in diffeomorphism groups of manifolds with a contact distribution

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
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

Inverse Problems for multiple invariant curves [PDF]

, 2006
Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors or Darboux first integrals are of special interest.
Cristopher, Colin, Llibre, Jaume, Pantazi, Chara, Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica, Walcher, Sebastian   +4 more
core  

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

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, Rodrigo T. Sato Martín de Almagro, Tengman Wang, Martina Stavole, Joachim Linn, Sigrid Leyendecker   +5 more
wiley   +1 more source

Alternative View of Inextensible Flows of Curves and Ruled Surfaces via Alternative Frame

Mathematics
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, Kemal Eren, Soley Ersoy, Vladimir Baltić   +3 more
doaj   +1 more source

Odd Invariant Semidensity and Divergence-like Operators on an Odd Symplectic Superspace

, 1997
The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way.
Khudaverdian, O. M.
core   +2 more sources

Simple Darboux points of polynomial planar vector fields

Journal of Pure and Applied Algebra, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Numerical and Analytical Investigation of the Ablowitz–Ladik and Salerno Models: Closeness to Cubic and Cubic‐Quintic Discrete Nonlinear Schrödinger Lattices

Studies in Applied Mathematics, Volume 155, Issue 6, December 2025.
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, Tiziano Penati, Simone Paleari   +2 more
wiley   +1 more source

Exploring Harmonic Evolute Geometries Derived from Tubular Surfaces in Minkowski 3-Space Using the RM Darboux Frame

Mathematics
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, Sayed Saber, Haci Mehmet Baskonus   +2 more
doaj   +1 more source

$ C^* $-partner curves with modified adapted frame and their applications

AIMS Mathematics, 2023
In this study, the curve theory, which occupies a very important and wide place in differential geometry, has been studied. One of the most important known methods used to analyze a curve in differential geometry is the Frenet frame, which is a moving ...
Sezai Kızıltuǧ , Tülay Erişir, Gökhan Mumcu, Yusuf Yaylı   +3 more
doaj   +1 more source

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source