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arxiv: 1506.00764 · v1 · pith:AIYWLQSZnew · submitted 2015-06-02 · 🧮 math.DG · math.AP

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

classification 🧮 math.DG math.AP
keywords cigaranswerbryantdimensionshigherimmersedimmersionisometric
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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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