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Luigi Vezzoni

On the Hermitian curvature of symplectic manifolds

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.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 7, 04/2007
Pages: 207 - 214

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