It is shown that the information loss depends on the intrinsic curvature only, while the parameter effect curvature has no effect at all.

This paper presents a method for morphing planar polygons via discrete curvature interpolation which employs intrinsic discrete curvature shape properties.

In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.