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math.DG2013★ 27 cited
Cosmological singularities in Bakry-Émery spacetimes
Gregory J. Galloway, Eric Woolgar
We consider spacetimes consisting of a manifold with Lorentzian metric and a weight function or scalar field. These spacetimes admit a Bakry-Émery-Ricci tensor which is a natural g…
math.DG2013
Renormalized volume and the evolution of APEs
Eric Bahuaud, Rafe Mazzeo, Eric Woolgar
We study the evolution of the renormalized volume functional for asymptotically Poincare-Einstein metrics (M,g) which are evolving by normalized Ricci flow. In particular, we prove…