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

Published 2 Jun 2015 in math.DG and math.AP | (1506.00764v1)

Abstract: In this paper, we study the question if there is an isometric immersion of the cigar soliton into $R3$. We show that the answer is negative. Similar result in higher dimensions is also true for steady Bryant solitons.

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