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Bifurcation of periodic solutions to the singular Yamabe problem on spheres
We obtain uncountably many periodic solutions to the singular Yamabe problem
on a round sphere, that blow up along a great circle. These are (complete)
constant scalar curvature metrics on the complement of inside ,
, that are conformal to the round (incomplete) metric and "periodic"
in the sense of being invariant under a discrete group of conformal
transformations. These solutions come from bifurcating branches of constant
scalar curvature metrics on compact quotients of .Comment: LaTeX2e, 12 pages, final version. To appear in J. Differential Geo
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