The qc Yamabe problem on non-spherical quaternionic contact manifolds

2016/12/07 by Ivanov, Stefan, Petkov, Alexander
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.02406

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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