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On the Hermitian curvature of symplectic manifolds
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Luigi Vezzoni
Published/Copyright:
June 18, 2007
Abstract
In this paper we give conditions for the integrability of almost complex structures calibrated by symplectic forms. We show that in the symplectic case the Newlander–Nirenberg theorem reduces to 
and we give integrability conditions in terms of the curvature and the Hermitian curvature of the induced metric.
Received: 2005-11-16
Published Online: 2007-06-18
Published in Print: 2007-04-19
© Walter de Gruyter
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Articles in the same Issue
- The Poncelet grid
- On hyperbolic Coxeter n-polytopes with n + 2 facets
- Dense near octagons with four points on each line, II
- On the Hermitian curvature of symplectic manifolds
- Surjectivity of Gaussian maps for curves on Enriques surfaces
- Compact Tits quadrangles as Lie geometries of topological Laguerre spaces
- On the roots of the Steiner polynomial of a 3-dimensional convex body
- Circular surfaces
- Addendum to “Classification of generalized polarized manifolds by their nef values”
