2 citations · 2 across the 8 of their papers we have counts for
5 papers · 2 filters
Symmetries and Weighted Integrability of Vector Fields with Jacobi Multipliers
C. Sardón, X. Zhao
In this paper, we investigate analytic divergence-free vector fields and vector fields admitting a Jacobi multiplier on -dimensional Riemannian manifolds. We first introduce a f…
(Quasi) Hamiltonian Systems and Non-Decomposable Poisson Geometry
C. Sardón, X. Zhao
In this work, we conduct a systematic study of Hamiltonian and quasi-Hamiltonian systems within the framework of nondecomposable generalized Poisson geometry. Our focus lies on the…
From Dirac to Dunkl Operators through Symmetry Reduction
Cristina Sardón
This paper presents a geometric and analytic derivation of Dirac-Dunkl operators as symmetry reductions of the flat Dirac operator on Euclidean space. Starting from the standard Di…
Integration on -Cosymplectic Manifolds
M. Leok, C. Sardón, X. Zhao
This paper presents a unified framework for studying dynamics and integration on -cosymplectic manifolds. After outlining the geometric foundations of -cosymplectic structure…
q-Cosymplectic Geometry, Integrability and Reduction
Melvin Leok, Cristina Sardón, Xuefeng Zhao
In the present paper, we define the concept of a \( q \)-cosymplectic manifold, on which we study the Hamiltonian, gradient, local gradient, and \( q \)-evolution vector fields. Se…