Abstract
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.
Original language | English (US) |
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Pages (from-to) | 4031-4040 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 145 |
Issue number | 9 |
DOIs | |
State | Published - 2017 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics