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arXiv · 1911.13242

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

Chengjie Yu
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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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Chengjie Yu. 2024-12-18. Extensions of isometric immersions and Cartan-Ambrose-Hicks theorem based on submanifolds. https://arxiv.org/abs/1911.13242

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