Results 11 to 20 of about 191,927 (272)
This is a state-of-the-art survey, written by one of the leaders of the field. First, the local structure is described, with emphasis on linear, quadratic structures and their perturbations. Then the advances in global problems are reviewed, beginning with a general programme in section 4.
Alan Weinstein
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Poisson geometry from a Dirac perspective [PDF]
42 pages.
Eckhard Meinrenken
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We construct a Poisson algebra of brane currents from a QP-manifold, and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with ...
Alex S. Arvanitakis
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Spectrum Analysis of Millimeter Wave Heterogeneous Network Based on Poisson Cluster Process [PDF]
To address the problem of describing the correlation between User Equipment(UE) and base station space in large-scale hot spot communication scenarios,this paper constructs a millimeter wave heterogeneous network model based on Poisson Cluster Process ...
CHEN Yuwan, JIA Xiangdong, JI Pengshan, Lü Yaping
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Courant Algebroids and Poisson Geometry [PDF]
Given a manifold M with an action of a quadratic Lie algebra d, such that all stabilizer algebras are co-isotropic in d, we show that the product M\times d becomes a Courant algebroid over M. If the bilinear form on d is split, the choice of transverse Lagrangian subspaces g_1, g_2 of d defines a bivector field on M, which is Poisson if (d,g_1,g_2) is ...
Li-Bland, David, Meinrenken, Eckhard
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Poisson-generalized geometry and R-flux [PDF]
We study a new kind of Courant algebroid on Poisson manifolds, which is a variant of the generalized tangent bundle in the sense that the roles of tangent and the cotangent bundle are exchanged. Its symmetry is a semidirect product of [Formula: see text]-diffeomorphisms and [Formula: see text]-transformations.
Asakawa, Tsuguhiko +3 more
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Deformed graded Poisson structures, generalized geometry and supergravity
In recent years, a close connection between supergravity, string effective actions and generalized geometry has been discovered that typically involves a doubling of geometric structures.
Eugenia Boffo, Peter Schupp
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Dynamic Point Cloud Compression Based on Projections, Surface Reconstruction and Video Compression
In this paper we will present a new dynamic point cloud compression based on different projection types and bit depth, combined with the surface reconstruction algorithm and video compression for obtained geometry and texture maps. Texture maps have been
Emil Dumic +2 more
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Warped Poisson Brackets on Warped Products [PDF]
In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure.
Amrane, Yacine Aït +2 more
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Para-Hermitian geometries for Poisson-Lie symmetric σ-models
The doubled target space of the fundamental closed string is identified with its phase space and described by an almost para-Hermitian geometry. We explore this setup in the context of group manifolds which admit a maximally isotropic subgroup.
Falk Hassler +2 more
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