Parabolic conformally symplectic structures. II: Parabolic contactification

DOI10.1007/s10231-017-0719-3zbMath1410.53078arXiv1605.01897OpenAlexW2346088745WikidataQ57408527 ScholiaQ57408527MaRDI QIDQ1663352

Andreas Čap, Tomáš Salač

Publication date: 21 August 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01897

zbMATH Keywords

parabolic contact structurealmost conformally symplectic structureconformally Fedosov structurecontactificationspecial symplectic connection

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Issues of holonomy in differential geometry (53C29) Other connections (53B15) (G)-structures (53C10)

Related Items (8)

Elliptic complex on the Grassmannian of oriented 2-planes ⋮ Conformally Fedosov manifolds ⋮ Calculus on symplectic manifolds ⋮ Parabolic conformally symplectic structures. I: Definition and distinguished connections ⋮ The Penrose transform and the exactness of the tangential \(k\)-Cauchy-Fueter complex on the Heisenberg group ⋮ The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group ⋮ Differential geometry of \(\textsf{SO}^\ast(2n)\)-type structures ⋮ Parabolic conformally symplectic structures. III: Invariant differential operators and complexes

Cites Work

• Special symplectic connections
• A variational principle for symplectic connections
• Zero-energy fields on complex projective space
• Pushing down the Rumin complex to conformally symplectic quotients
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Contact projective structures
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Parabolic conformally symplectic structures. II: Parabolic contactification