(12009) ON THE INJECTIVITY RADIUS GROWTH OF COMPLETE NONCOMPACT RIEMANNNIAN MANIFOLDS

来源:数学科学研究中心

Abstract.

 In this paper we introduce a global geometric invariant (M) related to injectivity
radius to complete non-compact Riemannian manifolds and prove: If (Mn) > 1,
then Mn is isometric to Rn when Ricci curvature is non-negative, and is di eomorphic to
Rn for n , 4 and homeomorphic to R4 for n = 4 if without any curved assumption. .

  • injectivity radius.pdf