A weighted renormalized curvature for manifolds with density
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- by Jeffrey S. Case PDF
- Proc. Amer. Math. Soc. 145 (2017), 4031-4040 Request permission
Abstract:
We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient $v_3$ in conformal geometry. We show that this invariant is variational and that shrinking gradient Ricci solitons are stable with respect to the associated $\mathcal {W}$-functional.References
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Additional Information
- Jeffrey S. Case
- Affiliation: Department of Mathematics, Pennsylvania State University, 109 McAllister Building, University Park, Pennsylvania 16802
- MR Author ID: 894837
- Email: jscase@psu.edu
- Received by editor(s): April 1, 2016
- Received by editor(s) in revised form: September 30, 2016
- Published electronically: March 23, 2017
- Communicated by: Lei Ni
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4031-4040
- MSC (2010): Primary 53C21; Secondary 53C25, 58E11
- DOI: https://doi.org/10.1090/proc/13566
- MathSciNet review: 3665054