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math.DG2016
The qc Yamabe problem on non-spherical quaternionic contact manifolds
Stefan Ivanov, Alexander Petkov
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…
math.DG2016★ 1 cited
A heat equation on a quaternionic contact manifold
Stefan Ivanov, Alexander Petkov
A quaternionic contact (qc) heat equation and the corresponding qc energy functional are introduced. It is shown that the qc energy functional is monotone non-increasing along the…