Polarized 4-Manifolds, Extremal Kähler Metrics, and Seiberg-Witten Theory
نویسنده
چکیده
Using Seiberg-Witten theory, it is shown that any Kähler metric of constant negative scalar curvature on a compact 4-manifold M minimizes the L-norm of scalar curvature among Riemannian metrics compatible with a fixed decomposition H(M) = H ⊕ H−. This implies, for example, that any such metric on a minimal ruled surface must be locally symmetric.
منابع مشابه
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تاریخ انتشار 1995