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Remarks on topology of stable translating solitons

Published 16 Apr 2018 in math.DG | (1804.05463v2)

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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