Complex Manifolds with Certain Families of Biholomorphisms

  title={Complex Manifolds with Certain Families of Biholomorphisms},
  author={L P Tam},
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… CONTINUE READING