Remarks on topology of stable translating solitons
classification
🧮 math.DG
keywords
stabletranslatingcompletesolitonadmitscodimensioncorollarycycle
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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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