The positive mass theorem for ALE manifolds
Volume 41 / 1997
Banach Center Publications 41 (1997), 133-142
DOI: 10.4064/-41-1-133-142
Abstract
We show what extra condition is necessary to be able to use the positive mass argument of Witten [12] on an asymptotically locally euclidean manifold. Specifically we show that the 'generalized positive action conjecture' holds if one assumes that the signature of the manifold has the correct value.