arXiv:math/9911197 Abstract

arXiv:math/9911197 [math.DG]Abstract References Reviews Resources

Local rigidity of certain classes of almost Kahler 4-manifolds

Vestislav Apostolov, John Armstrong, Tedi Draghici

Published 1999-11-25, updated 2001-06-22Version 2

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

Comments: LaTex file, 25 pages, typos corrected, improved presentation, accepted in Ann. Global Anal. Geom

Categories: math.DG

Subjects: 53B20, 53C15, 53C25

Keywords: local rigidity, weyl curvatures, algebraic symmetries, kahler metric

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