Local rigidity of certain classes of almost Kahler 4-manifolds

Vestislav Apostolov; John Armstrong; Tedi Draghici

Local rigidity of certain classes of almost Kahler 4-manifolds

Differential Geometry 2007-05-23 v2

Authors: Vestislav Apostolov , John Armstrong , Tedi Draghici

Abstract

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.

Keywords

almost kahler 4-manifold local rigidity ricci curvature weyl curvature kähler metric 3-symmetric space

Cite

@article{arxiv.math/9911197,
  title  = {Local rigidity of certain classes of almost Kahler 4-manifolds},
  author = {Vestislav Apostolov and John Armstrong and Tedi Draghici},
  journal= {arXiv preprint arXiv:math/9911197},
  year   = {2007}
}

Comments

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

Local rigidity of certain classes of almost Kahler 4-manifolds

Abstract

Keywords

Cite

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