A closed symplectic four-manifold has almost Kähler metrics of negative scalar curvature

DOI10.1007/s10455-007-9074-8zbMath1157.53041arXivmath/0605468OpenAlexW1993805828WikidataQ124975125 ScholiaQ124975125MaRDI QIDQ2481345

Jongsu Kim

Publication date: 9 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0605468

zbMATH Keywords

scalar curvaturesymplectic manifoldalmost Kähler metricisland metric

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

On tamed almost complex four-manifolds ⋮ Weyl curvature, del Pezzo surfaces, and almost-Kähler geometry ⋮ A note on the deformations of almost complex structures on closed four-manifolds ⋮ Almost Kähler metrics of negative scalar curvature on symplectic manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo holomorphic curves in symplectic manifolds
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• The space of negative scalar curvature metrics
• Deformations of almost-Kähler metrics with constant scalar curvature on compact Kähler manifolds
• Metrics of negative Ricci curvature
• Contributions to riemannian geometry in the large
• ALMOST KAHLER METRICS WITH NON-POSITIVE SCALAR CURVATURE WHICH ARE EUCLIDEAN AWAY FROM A COMPACT SET
• An integrability theorem for almost Kähler 4-manifolds
• ALMOST KÄHLER 4-MANIFOLDS, L²-SCALAR CURVATURE FUNCTIONAL AND SEIBERG–WITTEN EQUATIONS

This page was built for publication: A closed symplectic four-manifold has almost Kähler metrics of negative scalar curvature