Mathematics – Differential Geometry
Scientific paper
2011-08-01
Mathematics
Differential Geometry
8 pages, 1 figure. Small revisions
Scientific paper
We construct self-dual(SD) but not locally conformally flat(LCF) metrics on
families of non-simply connected 4-manifolds with small signature. We construct
various sequences with bounded or unbounded Betti numbers and Euler
characteristic. These metrics have negative scalar curvature. As an
application, this addresses the Remark 4.79 of Besse.
Argüz Hülya
Kalafat Mustafa
Ozan Y\ild\iray
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