arXiv subjects

Donovan McFeron

Publications and source records attributed to Donovan McFeron.

2 recordsLinked to original sources

arXiv2012

On the positive mass theorem for manifolds with corners

We study the positive mass theorem for certain non-smooth metrics following P. Miao's work. Our approach is to smooth the metric using the Ricci flow. As well as improving some previous results on the behaviour of the ADM mass under the Ricci flow, we extend the analysis of the zero mass case to higher dimensions.

math.DG↗

arXiv2011

The Mabuchi metric and the Kähler-Ricci flow

In this paper we show that on a Fano manifold the convergence of the Kähler-Ricci flow to a Kähler-Einstein metric follows from the integrability of the $L^2$ norm of the Ricci potential for positive time.

math.DG↗