Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities
In this survey, we review the classical Hamilton–Jacobi theory from a geometric point of view
in different geometric backgrounds. We propose a Hamilton–Jacobi equation for different …
in different geometric backgrounds. We propose a Hamilton–Jacobi equation for different …
[图书][B] Principles of locally conformally Kähler geometry
L Ornea, M Verbitsky - 2024 - Springer
Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …
hundred pages an idea that could be perfectly explained in a few minutes. A better …
Variational aspect and kinetic theory of locally conformal dynamics
We present the locally conformal generalization of the Euler–Lagrange equations. We
determine the dual space of the LCS Hamiltonian vector fields. Within this dual space, we …
determine the dual space of the LCS Hamiltonian vector fields. Within this dual space, we …
Locally conformally symplectic and Kähler geometry
G Bazzoni - EMS Surveys in Mathematical Sciences, 2018 - ems.press
The goal of this note is to give an introduction to locally conformally symplectic and Kähler
geometry. In particular, the first two sections aim to provide the reader with enough …
geometry. In particular, the first two sections aim to provide the reader with enough …
Conformal symplectic geometry of cotangent bundles
B Chantraine, E Murphy - arXiv preprint arXiv:1606.00861, 2016 - arxiv.org
We prove a version of the Arnol'd conjecture for Lagrangian submanifolds of conformal
symplectic manifolds: a Lagrangian $ L $ which has non-zero Morse-Novikov homology for …
symplectic manifolds: a Lagrangian $ L $ which has non-zero Morse-Novikov homology for …
Hamilton–Jacobi formalism on locally conformally symplectic manifolds
In this article, we provide a Hamilton–Jacobi formalism on locally conformally symplectic
(lcs) manifolds. We are interested in the Hamilton–Jacobi as an alternative method for …
(lcs) manifolds. We are interested in the Hamilton–Jacobi as an alternative method for …
On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory
Cosymplectic geometry has been proven to be a very useful geometric background to
describe time-dependent Hamiltonian dynamics. In this work, we address the globalization …
describe time-dependent Hamiltonian dynamics. In this work, we address the globalization …
[PDF][PDF] Discrete Dynamics on Locally Conformal Framework
arXiv:2403.00312v1 [math-ph] 1 Mar 2024 Discrete Dynamics on Locally Conformal Framework
Page 1 arXiv:2403.00312v1 [math-ph] 1 Mar 2024 Discrete Dynamics on Locally Conformal …
Page 1 arXiv:2403.00312v1 [math-ph] 1 Mar 2024 Discrete Dynamics on Locally Conformal …
[Locally Conformal Higher Order Lagrangian Dynamics
S Çite, O Esen - arXiv preprint arXiv:2411.17300, 2024 - arxiv.org
arXiv:2411.17300v1 [math-ph] 26 Nov 2024 Page 1 arXiv:2411.17300v1 [math-ph] 26 Nov 2024
LOCALLY CONFORMAL HIGHER ORDER LAGRANGIAN DYNAMICS SERDAR CITE AND …
LOCALLY CONFORMAL HIGHER ORDER LAGRANGIAN DYNAMICS SERDAR CITE AND …
The Globalization Problem of the Hamilton–DeDonder–Weyl Equations on a Local k-Symplectic Framework
In this paper, we aim at addressing the globalization problem of Hamilton–DeDonder–Weyl
equations on a local k-symplectic framework and we introduce the notion of locally …
equations on a local k-symplectic framework and we introduce the notion of locally …