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.
@article{bwmeta1.element.bwnjournal-article-bcpv41z1p133bwm,
author = {Dahl, Mattias},
title = {The positive mass theorem for ALE manifolds},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {133-142},
zbl = {0890.53065},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z1p133bwm}
}
Dahl, Mattias. The positive mass theorem for ALE manifolds. Banach Center Publications, Tome 38 (1997) pp. 133-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z1p133bwm/
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