关键词: Excess functions, rays, diffeomorphism

Abstract:

This paper gives an estimate of excess functions of rays on complete noncom-
pact manifolds. By using this estimation, they can get the results in [3] as corollaries,
which asserts that a complete manifold is diffeomorphic to Rn under some curvature and
pinching conditions. At last, they obtain a refinement of them with extra Ricci condition.

Key words: Excess functions, rays, diffeomorphism