Harmonic two-forms on manifolds with non-negative isotropic curvature

DOI10.1007/s10455-011-9265-1zbMath1230.53040OpenAlexW1966382986MaRDI QIDQ652586

Peng Zhu

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1007/s10455-011-9265-1

zbMATH Keywords

almost Kähler manifoldharmonic two-formsnon-negative isotropic curvature

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14) Global theory of symplectic and contact manifolds (53D35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds ⋮ Besse conjecture with positive isotropic curvature ⋮ Scalar curvature and Betti numbers of compact Riemannian manifolds ⋮ Vanishing theorems on hypersurfaces in Riemannian manifolds ⋮ \(L ^{2}\)-harmonic forms and stable hypersurfaces in space forms ⋮ On reduced L2 cohomology of hypersurfaces in spheres with finite total curvature ⋮ Gap theorems on hypersurfaces in spheres

Cites Work

• Unnamed Item
• On a generalized Calabi-Yau equation
• Almost Kähler metrics of negative scalar curvature on symplectic manifolds
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Metrics with nonnegative isotropic curvature
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature

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