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Extensions of isometric immersions and Cartan-Ambrose-Hicks theorem based on submanifolds

Published 27 Nov 2019 in math.DG | (1911.13242v5)

Abstract: In this paper, we study the general extension problem for isometric immersions by establishing Cartan-Ambrose-Hicks theorems based on submanifolds. Our method also provides geometric constructions of such extensions.

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