HOLOMORPHIC SYMPLECTIC AND POISSON STRUCTURES ON THE HOLOMORPHIC COTANGENT BUNDLE OF A COMPLEX LIE GROUP AND OF A HOLOMORPHIC PRINCIPAL BUNDLE

DOI10.1142/S1793557113500290zbMath1282.22004OpenAlexW2093206928WikidataQ115244553 ScholiaQ115244553MaRDI QIDQ2868576

Cristian Ida

Publication date: 17 December 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500290

zbMATH Keywords

holomorphic principal bundlecomplex Lie groupholomorphic fibrationholomorphic symplectic and Poisson structure

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Analysis on real and complex Lie groups (22E30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Holomorphic bundles and generalizations (32L05)

Related Items (1)

Poisson structures on almost complex Lie algebroids

Cites Work

• Principal bundles on compact complex manifolds with trivial tangent bundle
• The local structure of Poisson manifolds
• Integration of holomorphic Lie algebroids
• Monodromy and nonintegrability in complex Hamiltonian systems
• Isomorphisms of some complex Poisson brackets
• Almost complex Poisson manifolds
• Holomorphic symplectic manifolds and Lagrangian fibrations
• Poisson structures on the cotangent bundle of a Lie group or a principle bundle and their reductions
• Integration of local actions on holomorphic fiber spaces
• On the $\overline\partial$-equation in a Banach space

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