Local Rigidity of Certain Classes of Almost Kähler 4-Manifolds

Author: Apostolov V.  

Publisher: Springer Publishing Company

ISSN: 0232-704X

Source: Annals of Global Analysis and Geometry, Vol.21, Iss.2, 2002-04, pp. : 151-176

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Abstract

We show that any non-Kähler, almost Kähler 4-manifold for which both the Ricci and the Weyl curvatures have the same algebraic symmetries as they have for a Kähler metric is locally isometric to the (only) proper 3-symmetric four-dimensional space.