Results 21 to 30 of about 762 (171)
Generalised Complex Geometry in Thermodynamical Fluctuation Theory
Entropy, 2015 We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry.
P. Fernández de Córdoba, J. M. Isidro
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Feature Extraction of Gearbox Early Fault based on ISGMD and MED
Jixie chuandong, 2022 Aiming at the difficulty in identifying early faults and compound faults of gearboxes under strong noise background，a method of extracting fault features based on the combination of improved symplectic geometry mode decomposition （ISGMD） and minimum ...
Shuzhou Dong, Xunpeng Qin, Shiming Yang
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Lagrangian Submanifolds of Symplectic Structures Induced by Divergence Functions
Entropy, 2020 Divergence functions play a relevant role in Information Geometry as they allow for the introduction of a Riemannian metric and a dual connection structure on a finite dimensional manifold of probability distributions.
Marco Favretti
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Gerbes in Geometry, Field Theory, and Quantisation
Complex Manifolds, 2021 This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.
Bunk Severin
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Conformally symplectic structures and the Lefschetz condition
Comptes Rendus. MathématiqueThis short note provides a symplectic analogue of Vaisman’s theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally ...
Lejmi, Mehdi, Wilson, Scott O.
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Extended Riemannian geometry II: local heterotic double field theory
Journal of High Energy Physics, 2018 We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Andreas Deser +2 more
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On the hyperbolic symplectic geometry
Journal of Combinatorial Theory, Series A, 2004 The present article provides a new characterization of the geometry on the points and hyperbolic lines of a non-degenerate symplectic polar space. This characterization is accomplished by studying the family of subspaces obtained when considering the polars of all hyperbolic lines. Let \(\mathbb W_{2n-1}(\mathbb F)\) denote the polar space with respect
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Symplectic Applicability of Lagrangian Surfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi, Emilio Musso
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Geometric Quantization and Epistemically Restricted Theories: The Continuous Case [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic ...
Ivan Contreras, Ali Nabi Duman
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Symplectic Toric Geometry and the Regular Dodecahedron
Journal of Mathematics, 2015 The regular dodecahedron is the only simple polytope among the platonic solids which is not rational. Therefore, it corresponds neither to a symplectic toric manifold nor to a symplectic toric orbifold.
Elisa Prato
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