ALMOST KÄHLER 4-MANIFOLDS, L2-SCALAR CURVATURE FUNCTIONAL AND SEIBERG–WITTEN EQUATIONS

DOI10.1142/S0129167X04002478zbMath1073.53062OpenAlexW1991270153MaRDI QIDQ4820978

Mitsuhiro Itoh

Publication date: 1 October 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x04002478

zbMATH Keywords

Seiberg-Witten equationsalmost Kähler manifoldEinstein metric\(L^2\) scalar curvature functional

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items (3)

A closed symplectic four-manifold has almost Kähler metrics of negative scalar curvature ⋮ The modified Yamabe problem and geometry of modified scalar curvatures ⋮ 4-dimensional almost Kähler manifolds and \(L^2\)-scalar curvature functional

Cites Work

• Extremal almost-Kähler metrics and Seiberg-Witten theory
• Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces)
• On some 4-dimensional compact Einstein almost Kähler manifolds
• On some compact Einstein almost Kähler manifolds
• Four-manifolds with \(\delta W^+=0\) and Einstein constants of the sphere.
• Local rigidity of certain classes of almost Kähler 4-manifolds
• The Seiberg-Witten invariants and symplectic forms
• Einstein metrics and Mostow rigidity
• Almost Kahler 4-manifolds with J-invariant ricci tensor and special weyl tensor
• The WeitzenbÕck formula for the Bach operator
• Ricci curvature, minimal volumes, and Seiberg-Witten theory
• On some four-dimensional almost Kähler Einstein manifolds

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