Complex Manifolds with Certain Families of Biholomorphisms
نویسندگان
چکیده
Abstract. Given a family of biholomorphisms φt on a noncompact complex manifold M , we provide conditions, on φt, under which M is biholomorphic to C. As an application, we generalize previous results in [1]. We prove that if (M, g) is a complete non-compact gradient Kähler-Ricci soliton with potential function f which is either steady with positive Ricci curvature so that the scalar curvature attains its maximum at some point, or expanding with non-negative Ricci curvature, then M is biholomorphic to C.
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