We show the existence of strictly almost-Kahler anti-self-dual metrics on certain 4-manifolds by deforming a scalar-flat Kahler metric. On the other hand, we prove the non-existence of such metrics on certain other 4-manifolds by means of Seiberg-Witten theory. In the process, we provide a simple new proof of the fact that any almost-Kahler anti-self-dual 4-manifold must have a non-trivial Seiberg-Witten invariant.
|Commitee:||Lawson, Blaine, Plamenevskaya, Olga, Rocek, Martin|
|School:||State University of New York at Stony Brook|
|School Location:||United States -- New York|
|Source:||DAI-B 75/12(E), Dissertation Abstracts International|
|Keywords:||Anti-self-dual metrics, Scalar-at|
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