TRANSVERSAL HARMONIC THEORY FOR TRANSVERSALLY SYMPLECTIC FLOWS

DOI10.1017/S1446788708000190zbMath1145.53062OpenAlexW2011944533MaRDI QIDQ3520160

Hong Kyung Pak

Publication date: 15 August 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000190

zbMATH Keywords

contact manifoldbasic cohomologysymplectic manifoldhard Lefschetz theoremtransversally symplectic foliation

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) de Rham theory in global analysis (58A12) Foliations in differential topology; geometric theory (57R30)

Related Items (3)

Transversely symplectic Dirac operators on transversely symplectic foliations ⋮ On the symplectic structures in frame bundles and the finite dimension of basic symplectic cohomologies ⋮ A REMARK ON THE BRYLINSKI CONJECTURE FOR ORBIFOLDS

Cites Work

• Unnamed Item
• Locally conformal symplectic manifolds
• De Rham-Hodge theory for Riemannian foliations
• Kähler and symplectic structures on nilmanifolds
• Contact manifolds in Riemannian geometry
• Harmonic cohomology classes of almost cosymplectic manifolds
• Harmonic cohomology of symplectic manifolds.
• The basic component of the mean curvature of Riemannian foliations
• Harmonic cohomology classes of symplectic manifolds
• Hodge structure on symplectic manifolds
• On harmonic tensors in compact Sasakian spaces
• On a decomposition of \(C\)-harmonic forms in a compact Sasakian space
• On \(C\)-harmonic forms in a compact Sasakian space
• On Harmonic Theory in Flows

This page was built for publication: TRANSVERSAL HARMONIC THEORY FOR TRANSVERSALLY SYMPLECTIC FLOWS