Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (3): 339-.

• Articles • Previous Articles     Next Articles

EXCESS FUNCTIONS OF RAYS ON COMPLETE NONCOMPACT MANIFOLDS

 XU Sen-Lin, XU Xu   

  1. Department of Mathematics, Central China Normal University, Wuhan 430079, China

    School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Online:2003-07-14 Published:2003-07-14
  • Supported by:

    Received March 22, 2001. Project supported by NNSFC(19971081)

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

CLC Number: 

  • 53C20
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