Symplectic geometry
Applications of Riemannian Geometry Comparing with Symplectic Geometry
... Riemannian geometry in the theory of relativity and to provide special comparisons between symplectic geometry and Riemannian geometry with respect to different point of ...Riemannian ...
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Article Higher Order Geometric Theory of Information and Heat based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures
... poly- symplectic geometry, introducing higher order Souriau-Gibbs density with higher order Souriau temperatures, elements of Lie ...to Symplectic Geometry”, in ...differential ...
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Structures and Singularities in n-Symplectic Geometry.
... We have examined the structures and dynamics in a number of non-canonical and non-standard situations in n-symplectic geometry. We began by attempting to lift K¨ unzle’s work to the frame bundle in a ...
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The shallow water equations: conservation laws and symplectic geometry
... between conservation laws, nonsimple wave solutions and Bcklund transformations of both the homogenous and nonhomogenous systems... Perhaps we ought to call 3.2 the.[r] ...
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Contraction limits of the proton-neutron symplectic model
... Recently, the fully microscopic proton-neutron sym- plectic model (PNSM) of nuclear collective motion was in- troduced by considering the symplectic geometry and pos- sible collective flows in the ...
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Symplectic reduction and the problem of time in nonrelativistic mechanics
... via symplectic reduction has important interpretational con- ...a symplectic geometry and within which solutions (the integral curves of the Hamiltonian vector field) are in one-to-one correspondence ...
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Symplectic Entropy as a Novel Measure for Complex Systems
... the symplectic geometry theory has been applied to analyze the time series from complex systems through the reconstructed phase space ...the symplectic geometry theory into the analysis of the ...
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Symplectic Dirac operators and Mpc structures
... structures are described in Section 6 and the symplectic Dirac operator and its properties appear in Section 7. We have tried to give a presentation which is self contained; the content of the first sections is ...
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A survey of symplectic and contact topology
... Symplectic geometry has its origin in the Hamiltonian formulation of classical mechanics while con- tact geometry appears on constant energy surfaces in the phase space of classical ...Contact ...
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Connections with Symplectic Structures
... Symplectic geometry is a rather new and vigorously developing mathematical discip- ...in symplectic geometry is directed area and the fundamental quantity in contact geometry is a ...
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Bayesian Inference from Symplectic Geometric Viewpoint
... (or symplectic dif- feomorphisms) on phase ...stract symplectic manifolds and Hamiltonian vector fields ...called symplectic capacities. Symplectic capacities are far from trivial and are deep ...
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Symplectic Connections and Contact Geometry
... to symplectic geometry. A symplectic form is a closed nondegenerate ...A symplectic manifold is a manifold equipped with a symplectic ...form. Symplectic geometry is the ...
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On the universal covering group of the real symplectic group
... the symplectic group Sp(2n, R ) (the Mp c group) was used to facilitate the definition of a theory of symplectic spinors on any symplectic manifold and to extend the Kostant theory of metaplectic ...
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Equivalences between three presentations of orthogonal and symplectic Yangians
... and symplectic Lie algebras (see Theorem ...for symplectic and orthogonal Yangians was first treated in [AACFR, AMR], and later received more attention in the mathematical literature in such papers as [Mo4, ...
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Families of (1,2) symplectic metrics on full flag manifolds
... 1. Introduction. Mo and Negreiros [13], by using moving frames and tournaments, showed explicitly the existence of an n-dimensional family of invariant (1, 2)- symplectic metrics on F (n) = U (n)/(U (1) × ··· × U ...
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Radicals of group algebras and permutation representations of symplectic groups
... generalise the result considerably and give an infinite class of simple groups with no multiply transitive permutation representations, namely the groups PSp4,q, q a prime power greater [r] ...
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On an asymptotic method for computing the modified energy for symplectic methods
... Abstract. We revisit an algorithm by Skeel et al. [5, 16] for computing the modified, or shadow, energy associated with symplectic discretizations of Hamiltonian systems. We amend the algorithm to use Richardson ...
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Shifted Symplectic Structures on Spaces of Framed Maps
... However, there are also a number of cases this does not cover. Let G be a reductive group. Let Map( P 2 , L, BG) be the space of stable principal G-bundles on P 2 with a trivial framing along a line L. This space has a ...
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A study of the infinite dimensional linear and symplectic groups
... here the normal and subnormal structure of some of their infinite dimensional counterparts, namely, the infinite dimensional linear group GLQ,R, for arbitrary rings R, and the infinite d[r] ...
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Symmetric Three Term Recurrence Equations and Their Symplectic Structure
... to be singular, which yields more general results for J obtained, for example, through the theory of symplectic systems S . In the present paper, we continue in this direction and we show that the three-term ...
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