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Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group (1504.03142v1)
Published 13 Apr 2015 in math.DG and math.AP
Abstract: A complete solution to the quaternionic contact Yamabe equation on the qc sphere of dimension $4n+3$ as well as on the quaternionic Heisenberg group is given. A uniqueness theorem for the qc Yamabe problem in a compact locally 3-Sasakian manifold is shown.
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