Reduction of coKähler and 3-cosymplectic manifolds

DOI10.7546/jgsp-68-2024-59-80zbMATH Open1547.53092MaRDI QIDQ6623288

Shuhei Yonehara

Publication date: 23 October 2024

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

zbMATH Keywords

moment mapcosymplectic manifoldHamiltonian action3-cosymplectic manifoldcoKähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Momentum maps; symplectic reduction (53D20) Contact manifolds (general theory) (53D10) Almost contact and almost symplectic manifolds (53D15)

Cites Work

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• Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
• Topology of co-symplectic/co-Kähler manifolds
• Hyperkähler metrics and supersymmetry
• Reduction of symplectic manifolds with symmetry
• Deformations of symplectic structures by moment maps
• Some results on cosymplectic manifolds admitting certain vector fields
• The theory of quasi-Sasakian structures
• Submanifolds of cosymplectic manifolds
• Reduction of Sasakian manifolds
• A SURVEY ON COSYMPLECTIC GEOMETRY
• Contact reduction
• Constructions of contact manifolds
• TOPOLOGY OF 3-COSYMPLECTIC MANIFOLDS
• Contact reduction and groupoid actions
• Cosymplectic groupoids

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