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arXiv · 1504.03142

Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group

Stefan Ivanov·Ivan Minchev·Dimiter Vassilev
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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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Stefan Ivanov, Ivan Minchev, Dimiter Vassilev. 2015-04-13. Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group. https://arxiv.org/abs/1504.03142

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