Notes on Square-Integrable Cohomology Spaces on Certain Foliated Manifolds

DOI10.2307/1998179zbMath0427.57010OpenAlexW4239283904MaRDI QIDQ3862750

Shinsuke Yorozu

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998179

zbMATH Keywords

Riemannian foliationssquare-integrable cohomology1-dimensional foliation with all leaves compact

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Other homology theories in algebraic topology (55N35) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Liouville type theorem for transversally harmonic maps ⋮ Laplacian on a totally geodesic foliation ⋮ Liouville type theorem for \((\mathcal{F},\mathcal{F}')_p\)-harmonic maps on foliations ⋮ \(L^2\)-transverse Killing forms on a transverse Kähler foliation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on square-integrable basic cohomology spaces on a foliated Riemannian manifold
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• On a decomposition of \(C\)-harmonic forms in a compact Sasakian space
• On \(C\)-harmonic forms in a compact Sasakian space
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On square-integrable \(\bar\partial\) anti-cohomology spaces attached to hermitian symmetric spaces
• Foliated manifolds with bundle-like metrics
• Harmonic Integrals on Foliated Manifolds
• On the Cohomology Groups of a Manifold with a Nonintegrable Subbundle

This page was built for publication: Notes on Square-Integrable Cohomology Spaces on Certain Foliated Manifolds