Harmonic functions on complete non-compact manifolds.

by Wu Man Ming.Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.Includes bibliographical references (leaves 60-62).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 2 --- Harmonic functions with linear growth --- p.3Chapter 2.1 --- A sharp estimate for dim H1 (M) --- p.3Chapter 2.2 --- Linear growth harmonic functions on Kahler manifolds --- p.8Chapter 3 --- Harmonic functions of polynomial growth --- p.21Chapter 3.1 --- Harmonic sections of polynomial growth --- p.21Chapter 3.2 --- Harmonic functions on manifolds with Sobolev in- equality --- p.34Chapter 4 --- Harmonic functions on manifolds with nonnegat --- p.ivesectional curvature --- p.43Bibliography --- p.6