-tightness and curvature of submanifolds with boundary
The purpose of this note is to establish a connection between the notion of -tightness in the sense of N.H. Kuiper and T.F. Banchoff and the total absolute curvature of compact submanifolds-with-boundary of even dimension in Euclidean space. The argument used is a certain geometric inequality similar to that of S.S. Chern and R.K. Lashof where equality characterizes -tightness.
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