Contents V.2, N.1, 2011

  • S- PARABOLIC MANIFOLDS
    A. AYTUNA, A. SADULLAEV (pp. 6-9)
  • Abstract

    An open Riemann surface is called parabolic in case every bounded subharmonicfunction on it reduces to a constant. In literature were introduced seemingly different analogsof this notion for Stein manifolds of arbitrary dimension. In the present paper we give a differentdefinitions of parabolisity and give some immediate relations among these different definitions.Inparticular,we discuss the following open problem:is the S-parabolic manifold S-parabolic

    Keywords

    parabolic manifolds, plurisubharmonic functions, polynoms on parabolic manifolds,Green functions, special exhaustion function, affine-algebraic manifolds

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