Local Rigidity of Certain Classes of Almost Kähler 4-Manifolds

نویسندگان

  • VESTISLAV APOSTOLOV
  • JOHN ARMSTRONG
چکیده

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. Mathematics Subject Classifications (2000): Primary 53B20, 53C25.

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تاریخ انتشار 2002