Riemannian, symplectic and weak holonomy

DOI10.1023/A:1006769532110zbMath0982.53046OpenAlexW32663516MaRDI QIDQ1586052

Lorenz J. Schwachhöfer

Publication date: 8 April 2002

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006769532110

zbMATH Keywords

Riemannian manifoldsLagrangian submanifoldsholonomy groupssymplectic connectioncomplex contact manifoldMerkulov twistor spaceparallel symplectic form

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Twistor methods in differential geometry (53C28) Contact manifolds (general theory) (53D10) Issues of holonomy in differential geometry (53C29) Canonical transformations in symplectic and contact geometry (53D22)

Related Items (6)

Torsion-free \(G_{3}\)-connections that are not analytic ⋮ Fiber structures of special (4 + 3 + 1) warped-like manifolds with Spin(7) holonomy ⋮ Special warped-like product manifolds with (weak) \(G_{2}\) holonomy ⋮ Lee form and special warped-like product manifolds with locally conformally parallel \(\mathrm{Spin}(7)\) structure ⋮ \((3+3+2)\) warped-like product manifolds with holonomy ⋮ The geometry of special symplectic representations

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