Locally conformally symplectic and Kähler geometry

DOI10.4171/EMSS/29zbMath1411.53001arXiv1711.02440OpenAlexW3103630006MaRDI QIDQ1755917

Giovanni Bazzoni

Publication date: 11 January 2019

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02440

zbMATH Keywords

classical mechanicslocally conformally Kähler structureslocally conformally symplectic structures

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Almost contact and almost symplectic manifolds (53D15)

Related Items (13)

Locally conformally Kähler solvmanifolds: a survey ⋮ Plurisigned hermitian metrics ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ The globalization problem of the Hamilton-DeDonder-Weyl equations on a local \(k\)-symplectic framework ⋮ Locally conformally Kähler structures on four-dimensional solvable Lie algebras ⋮ Special types of locally conformal closed \(G_2\)-structures ⋮ The Laplacian flow of locally conformal calibrated \(\operatorname{G}_{2}\)-structures ⋮ Cauchy data space and multisymplectic formulation of conformal classical field theories ⋮ Locally conformally symplectic reduction ⋮ Hamilton–Jacobi formalism on locally conformally symplectic manifolds ⋮ Locally conformally symplectic reduction of the cotangent bundle ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities ⋮ On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory

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