Why cigar can not be isometrically immersed into the 3-space

Li Ma; Anqiang Zhu

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arXiv · 1506.00764

Why cigar can not be isometrically immersed into the 3-space

Li Ma·Anqiang Zhu

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Abstract

In this paper, we study the question if there is an isometric immersion of the cigar soliton into $R^3$. We show that the answer is negative. Similar result in higher dimensions is also true for steady Bryant solitons.

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Li Ma, Anqiang Zhu. 2015-06-02. Why cigar can not be isometrically immersed into the 3-space. https://arxiv.org/abs/1506.00764

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