Results 31 to 40 of about 191,927 (272)
Poisson Geometry Related to Atiyah Sequences [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We construct and investigate a short exact sequence of Poisson $\mathcal{VB}$-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid $\frac{T^*P\times T^*P}{G}\rightrightarrows \frac{T^*P}{G}$. The semidirect product
Mackenzie, K.C. +2 more
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On computational Poisson geometry II: Numerical methods
Journal of Computational Dynamics, 2021 <p style='text-indent:20px;'>We present twelve numerical methods for evaluation of objects and concepts from Poisson geometry. We describe how each method works with examples, and explain how it is executed in code. These include methods that evaluate Hamiltonian and modular vector fields, compute the image under the coboundary and trace ...
Evangelista-Alvarado, Miguel Ángel +2 more
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EPJ Web of Conferences, 2014 We discuss the lift of Poisson structures associated with auxiliary linear problems for the differential and difference Lax equations to the space of wave functions.
Semenov-Tian-Shansky Michael
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Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry [PDF]
, 2016 A Poisson or a binomial process on an abstract state space and a symmetric function $f$ acting on $k$-tuples of its points are considered. They induce a point process on the target space of $f$.
Decreusefond, Laurent +2 more
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Holomorphic Poisson Cohomology
Complex Manifolds, 2015 Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology is obtained by twisting the Dolbeault @-operator ...
Chen Zhuo +2 more
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The Hitchin Model, Poisson-quasi-Nijenhuis Geometry and Symmetry Reduction
, 2007 We revisit our earlier work on the AKSZ formulation of topological sigma model on generalized complex manifolds, or Hitchin model. We show that the target space geometry geometry implied by the BV master equations is Poisson--quasi--Nijenhuis geometry ...
Zucchini, Roberto
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Energy-efficient power scheduling and allocation scheme for wireless sensor networks
Energy Reports, 2022 The focus in this paper is on coverage energy-efficient of WSN (wireless sensor networks). Communication path lengths of a randomly distributed BSs and sensor nodes field are characterized by distance distributions.
Hao Chen, Zhan Chen
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Poisson geometry and the Kashiwara–Vergne conjecture [PDF]
Comptes Rendus. Mathématique, 2002 We give a Poisson-geometric proof of the Kashiwara–Vergne conjecture for quadratic Lie algebras, based on the equivariant Moser trick.
Alekseev, Anton, Meinrenken, E.
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Hamiltonian Dynamics of Classical Spins
PhysicsWe discuss the geometry behind the classical Heisenberg model at the level suitable for third- or fourth-year students who did not have the opportunity to take a course on differential geometry.
Slobodan Radošević +5 more
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An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group
Journal of Applied Mathematics, 2012 The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view.
Camelia Pop Arieşanu
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