A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups

DOI10.1007/s10114-016-4620-6zbMath1381.53149OpenAlexW2336103700MaRDI QIDQ270115

Bruno Franchi, Annalisa Baldi, Marilena Barnabei

Publication date: 7 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4620-6

zbMATH Keywords

differential formssymplectic manifoldsHeisenberg groupscombinatorial functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Symplectic manifolds (general theory) (53D05) Nilpotent and solvable Lie groups (22E25) Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80)

Related Items (7)

Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups ⋮ POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups ⋮ Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry ⋮ Lipschitz graphs and currents in Heisenberg groups

Cites Work

• Regular submanifolds, graphs and area formula in Heisenberg groups
• New estimates for elliptic equations and Hodge type systems
• Differential forms on contact manifolds
• Sub-Riemannian limit of the differential form spectrum of contact manifolds
• A note on div curl inequalities
• Complex geometry. An introduction
• Cohomology and Hodge theory on symplectic manifolds. I
• Cohomology and Hodge theory on symplectic manifolds. II
• Compensated compactness for differential forms in Carnot groups and applications
• Sharp a priori estimates for div-curl systems in Heisenberg groups
• Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group
• Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups