A note on special Kähler manifolds
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چکیده
The base space of an algebraically completely integrable Hamiltonian system acquires a rather special differential-geometric structure which plays an important role in modern physical theories such as Seiberg-Witten theory. This structure was formalised by D. Freed [1] as a Special Kähler manifold. In that paper he conjectured that there are no compact special Kähler manifolds other than flat ones. In this paper, we prove that there are no nonflat complete special Kähler manifolds, thus verifying the conjecture.
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تاریخ انتشار 1999