A weighted renormalized curvature for manifolds with density
Differential Geometry
2016-03-10 v1
Abstract
We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient in conformal geometry. We show that this invariant is variational and that shrinking gradient Ricci solitons are stable with respect to the associated -functional.
Keywords
Cite
@article{arxiv.1603.02989,
title = {A weighted renormalized curvature for manifolds with density},
author = {Jeffrey S. Case},
journal= {arXiv preprint arXiv:1603.02989},
year = {2016}
}
Comments
10 pages