Almost - Kähler Anti - Self - Dual Metrics
نویسنده
چکیده
of the Dissertation Almost-Kähler Anti-Self-Dual Metrics by Inyoung Kim Doctor of Philosophy in Mathematics Stony Brook University 2014 We show the existence of strictly almost-Kähler anti-self-dual metrics on certain 4-manifolds by deforming a scalar-flat Kähler metric. On the other hand, we prove the non-existence of such metrics on certain other 4-manifolds by means of SeibergWitten theory. In the process, we provide a simple new proof of the fact that any almost-Kähler anti-self-dual 4-manifold must have a non-trivial Seiberg-Witten invariant.
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تاریخ انتشار 2014