( n - 2 ) -tightness and curvature of submanifolds with boundary

Wolfgang Kühnel

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-11

Abstract:

The purpose of this note is to establish a connection between the notion of ( n − 2 ) -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 ( n − 2 ) -tightness.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:191250

DOI: 10.1155/S0161171278000423

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