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
From page
6
To page
9
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
Record number
2527751
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