Results 21 to 30 of about 1,140,852 (279)
Symplectic geometry of Frobenius structures [PDF]
, 2004 22 ...
Alexander Givental
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Riemannian Geometry of Contact and Symplectic Manifolds
, 2002 D. Blair
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The $\log$ symplectic geometry of Poisson slices [PDF]
The Journal of Symplectic Geometry, 2020 Our paper develops a theory of Poisson slices and a uniform approach to their partial compactifications. The theory in question is loosely comparable to that of symplectic cross-sections in real symplectic geometry.
Peter Crooks, M. Roser
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Supertransvectants and Symplectic Geometry [PDF]
International Mathematics Research Notices, 2008 We consider the $osp(1|2)$-invariant bilinear operations on weighted densities on the supercircle $S^{1|1}$ called the supertransvectants. These operations are analogues of the famous Gordan transvectants (or Rankin-Cohen brackets). We prove that these operations coincide with the iterated Poisson and ghost Poisson brackets on ${\mathbb R}^{2|1}$ and ...
Gargoubi, Hichem, Ovsienko, Valentin
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Universe, 2022 This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on applications for Hamiltonian systems with second-class constraints.
Alexei A. Deriglazov
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The Geometry of Symplectic Energy [PDF]
The Annals of Mathematics, 1995 Abstract shortened in migration.
François Lalonde, Dusa McDuff
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Sheaves and symplectic geometry of cotangent bundles [PDF]
Astérisque, 2019 This paper is essentially made of the three preprints arXiv:1212.5818, arXiv:1311.0187, arXiv:1603.07876 gathered in a single text, with simplified proofs. We recall several results of the microlocal theory of sheaves of Kashiwara-Schapira and apply them
St'ephane Guillermou
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IEEE Access, 2023 It is always a hot and challenging problem to extract the characteristic information of roller bearings from strong noise interference. Conventional Hilbert-Huang Transform (HHT), Local Mean Decomposition (LMD), Local Feature-Scale Decomposition (LCD ...
Yanfei Liu +5 more
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Global Geometry of Bayesian Statistics
Entropy, 2020 In the previous work of the author, a non-trivial symmetry of the relative entropy in the information geometry of normal distributions was discovered. The same symmetry also appears in the symplectic/contact geometry of Hilbert modular cusps. Further, it
Atsuhide Mori
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INTEGRABLE SYSTEMS IN SYMPLECTIC GEOMETRY [PDF]
Glasgow Mathematical Journal, 2007 AbstractQuaternionic vector mKDV equations are derived from the Cartan structure equation in the symmetric space=Sp(n+1)/Sp(1) ×Sp(n). The derivation of the soliton hierarchy utilizes a moving parallel frame and a Cartan connection 1-form ω related to the Cartan geometry onmodelled on$(\mk{sp}_{n+1}, \mk{sp}_{1}\,{\times}\, \mk{sp}_{n})$.
Esmaeel Asadi, Jan A. Sanders
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