Positively curved complete noncompact Kähler manifolds
نویسندگان
چکیده
منابع مشابه
N ov 2 00 2 Positively Curved Complete Noncompact Kähler Manifolds
In this paper we give a partial affirmative answer to a conjecture of Greene-Wu and Yau. We prove that a complete noncompact Kähler surface with positive and bounded sectional curvature and with finite analytic Chern number c 1 (M) 2 is biholomorphic to C 2. The celebrated theorem of Cheeger–Gromoll–Meyer [3], [10] states that a complete noncompact Riemannian manifold with positive sectional cu...
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ژورنال
عنوان ژورنال: Acta Mathematica Scientia
سال: 2009
ISSN: 0252-9602
DOI: 10.1016/s0252-9602(09)60073-4