ANALYTIC DISCS AND PLURISUBHARMONIC FUNCTIONS ON COMPLEX MANIFOLDS

GOGUS, NIHAT GOKHAN
M.S., Mathematics
Supervisor : Prof. Dr. AYDIN AYTUNA
Co-supervisor : -
July 2001, 60 pages

Pluripotential theory has developed in multidimensional complex analysis in the last fifty years. Plurisubharmonic functions have applications not only in complex
analyis, but also in functional analysis, differential geometry, physics and engineering. It is often important to develop new methods in generating new
plurisubharmonic functions. In his several papers, E. A. Poletsky develops new methods of generating new plurisubharmonic functions. This thesis is basically a
recovering of these methods.

Keywords : Plurisubharmonic functions, pluripotential theory.