Orthogonal Bisectional Curvature and the Generalised Frankel Conjecture
نویسنده
چکیده
In the paper [SY80] it was shown that a Kähler manifold with strictly positive bisectional curvature was biholomorphic to CP. In this paper, we use the techniques developed by [SY80], to prove that a compact Kähler manifold with positive orthogonal bisectional curvature is biholomorphic to CP, a condition strictly weaker than positive bisectional curvature. This gives a direct elliptic proof of this theorem, which was proved by [Che07] by applying the Kähler Ricci flow and the Siu-Yau theorem.
منابع مشابه
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