Special symplectic connections

DOI10.4310/jdg/1261495331zbMath1190.53019arXivmath/0402221OpenAlexW1571453908WikidataQ115171592 ScholiaQ115171592MaRDI QIDQ847618

Lorenz J. Schwachhöfer, Michel Cahen

Publication date: 19 February 2010

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402221

zbMATH Keywords

symplectic reductionspecial symplectic holonomyBochner-bi-Lagrangian connection

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Related Items (12)

Holonomy Groups and Algebras ⋮ Parabolic symmetric spaces ⋮ Parabolic conformally symplectic structures. II: Parabolic contactification ⋮ Geometric properties of special orthogonal representations associated to exceptional Lie superalgebras ⋮ The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras ⋮ Calculus on symplectic manifolds ⋮ Parabolic conformally symplectic structures. I: Definition and distinguished connections ⋮ The geometry of special symplectic representations ⋮ Differential geometry of \(\textsf{SO}^\ast(2n)\)-type structures ⋮ Parabolic conformally symplectic structures. III: Invariant differential operators and complexes ⋮ Bochner-flat para-Kähler surfaces ⋮ Pushing down the Rumin complex to conformally symplectic quotients

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