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The qc Yamabe problem on non-spherical quaternionic contact manifolds (1612.02406v1)
Published 7 Dec 2016 in math.DG
Abstract: It is shown that the qc Yamabe problem has a solution on any compact qc manifold which is non-locally qc equivalent to the standard 3-Sasakian sphere. Namely, it is proved that on a compact non-locally spherical qc manifold there exists a qc conformal qc structure with constant qc scalar curvature
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