Title of article :
S*- PARABOLIC MANIFOLDS
Author/Authors :
AYTUNA, A. Sabanchi University - fundamental research of Khorezm Mamun Academy, Turkey , SADULLAEV, A. National University of Uzbekistan, Uzbekistan
Abstract :
An open Riemann surface is called parabolic in case every bounded subharmonic function on it reduces to a constant. In literature were introduced seemingly different analogs of this notion for Stein manifolds of arbitrary dimension. In the present paper we give a different definitions 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
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
