期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 145, 期 9, 页码 4031-4040出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/13566
关键词
Smooth metric measure space; manifold with density; renormalized volume; gradient Ricci soliton; W-functional
We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient v3 in conformal geometry. We show that this invariant is variational and that shrinking gradient Ricci solitons are stable with respect to the associated W-functional.
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