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ON THE INJECTIVITY RADIUS GROWTH OF COMPLETE NONCOMPACT RIEMANNNIAN MANIFOLDS
INJECTIVITY RADIUS GROWTH COMPLETE NONCOMPACT RIEMANNNIAN MANIFOLDS
2012/6/13
In this paper we introduce a global geometric invariant (M) related to injectivityradius to complete non-compact Riemannian manifolds and prove: If (Mn) > 1,then Mn is isometric to Rn when Ricci curva...
On the injectivity radius and tangent cones at infinity of gradient Ricci solitons
injectivity radius tangent cones infinity of gradient Ricci solitons
2010/11/20
A lower-bound estimate of injectivity radius for complete Riemannian manifolds is discussed in a pure geometric viewpoint and is applied to study tangent cones at in nity of certain gradient Ricci sol...