Some Conformal Invariants Of Submanifolds In A Riemannian Space

In this paper,we studied the conformal invariant of Riemannian submanifolds in a general Riemannian space,where the codimension of the submanifolds was greater than one.A basic problem,in the conformal geometry of submanifolds,was to find the confor-mal invariants of submanifolds.Based on the curvature tensor of the ambient space,this paper constructed a new group of the conformal invariants.Forthermore,we can use these new conformal invariants to construct Blaschke tensor in general Riemannian space,and these new conformal invariants reflected the connection between the Riemannian structure of the submanifolds and the conformal structure of the ambient space.