TITLE:
The Harmonic Functions on a Complete Asymptotic Flat Riemannian Manifold
AUTHORS:
Huashui Zhan
KEYWORDS:
Harmonic Function, Riemannian Manifold, Negative Sectional Curvature
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.2,
March
30,
2011
ABSTRACT: Let be a simply connected complete Riemannian manifold with dimension n≥3 . Suppose that the sectional curvature satisfies , where p is distance function from a base point of M,
a, b are constants and . Then there exist harmonic functions on M .