Liouville-type theorems on the complete gradient shrinking Ricci solitons
Abstract
We prove that there does not exist non-constant positive f-harmonic function on the complete gradient shrinking Ricci solitons. We also prove the Lp(p≥ 1 \ or\ 0<p≤ 1) Liouville theorems on the complete gradient shrinking Ricci solitons.
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