Date(s) : 12/05/2014 iCal
14 h 00 min - 15 h 00 min
In this talk, we describe how to 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 a circle inside S^m, m greater than 5, that are conformal to the round (incomplete) metric and periodic in the sense of being invariant under a discrete group of conformal transformations.
Furthermore, for 5 ≤ m ≤ 7, the solutions come from bifurcating branches of constant scalar curvature metrics on the compact quotient.
This is joint work with R. Bettiol (Notre Dame) and P. Piccione (USP).