This note shows the nullity of homotopy groups for complete three dimensional manifolds with Ricci0 under some growth condition of the geodesic ball. The author also gives some examples which show the growth condition...This note shows the nullity of homotopy groups for complete three dimensional manifolds with Ricci0 under some growth condition of the geodesic ball. The author also gives some examples which show the growth condition here is optimal in some sense.展开更多
文摘This note shows the nullity of homotopy groups for complete three dimensional manifolds with Ricci0 under some growth condition of the geodesic ball. The author also gives some examples which show the growth condition here is optimal in some sense.