(n-2)-tightness and curvature of submanifolds with boundary
1978 ◽
Vol 1
(4)
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pp. 421-431
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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.
2018 ◽
Vol 22
(2)
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pp. 15-32
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1971 ◽
Vol 3
(2)
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pp. 129-151
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2008 ◽
Vol 52
(1)
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pp. 47-76
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1970 ◽
Vol 22
(1)
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pp. 89-97
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