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arXiv · 1804.05463

Remarks on topology of stable translating solitons

Keita Kunikawa·Shunsuke Saito
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Abstract

We show that any complete $f$-stable translating soliton $M$ admits no codimension one cycle which does not disconnect $M$. As a corollary, it follows that any two dimensional complete $f$-stable translating soliton has genus zero.

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Keita Kunikawa, Shunsuke Saito. 2018-04-16. Remarks on topology of stable translating solitons. https://arxiv.org/abs/1804.05463

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