Results 51 to 60 of about 1,844 (204)

No-go theorems for r-matrices in symplectic geometry

Communications in Analysis and Mechanics
If a triangular Lie algebra acts on a smooth manifold, it induces a Poisson bracket on it. In case this Poisson structure is actually symplectic, we show that this already implies the existence of a flat connection on any vector bundle over the manifold ...
Jonas Schnitzer
doaj   +1 more source

Kinematic space and the orbit method

Journal of High Energy Physics, 2019
Kinematic space has been defined as the space of codimension-2 spacelike extremal surfaces in anti de Sitter (AdS d+1) spacetime which, by the Ryu-Takayanagi proposal, compute the entanglement entropy of spheres in the boundary CFT d .
Robert F. Penna, Claire Zukowski
doaj   +1 more source

Metaplectic operators with quasi‐diagonal kernels

Mathematische Nachrichten, Volume 298, Issue 12, Page 3618-3638, December 2025.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

Radio Wave Propagation Revisited With Application to High‐Latitude Ionospheric Scintillation

Journal of Geophysical Research: Space Physics, Volume 130, Issue 12, December 2025.
Abstract The subject of radio‐wave propagation in various media, including turbulent plasmas, has for more than a century preoccupied astronomers, space plasma physicists, scientists, and engineers interested in the problem of wave scattering by turbulent media.
A. M. Hamza, K. Meziane
wiley   +1 more source

Some New Constructions of Authentication Codes with Arbitration and Multi-Receiver from Singular Symplectic Geometry

Journal of Applied Mathematics, 2011
A new construction of authentication codes with arbitration and multireceiver from singular symplectic geometry over finite fields is given. The parameters are computed.
You Gao, Huafeng Yu
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Symplectic Geometry

, 2005
This is an overview article on selected topics in symplectic geometry written for the Handbook of Differential Geometry (volume 2, edited by F.J.E. Dillen and L.C.A. Verstraelen).
openaire   +2 more sources

Compactifications of strata of differentials

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley   +1 more source

The shallow water equations: conservation laws and symplectic geometry

International Journal of Mathematics and Mathematical Sciences, 1987
We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. By using the hodograph method we construct solutions, conservation laws, and Böcklund transformations for these equations.
Yilmaz Akyildiz
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Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory [PDF]

, 2020
Nima Moshayedi
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Maximal symplectic torus actions

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4132-4148, December 2025.
Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley   +1 more source