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Some Global Theorems on Hypersurfaces
Published online by Cambridge University Press: 20 November 2018
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The purpose of this paper is to establish the following theorems, which were obtained by Hopf and Voss in their joint paper (2) for the case where n = 2.
THEOREM 1. Let Vn, V*n be two closed orientable hyper surfaces twice differ entiably imbedded in a Euclidean space En+l of dimension n + 1 ≥ 3.
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- Copyright © Canadian Mathematical Society 1957
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