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

Dimiter Vassilev; Ivan Minchev; Stefan Ivanov

arxiv: 1504.03142 · v1 · pith:YDUELUFGnew · submitted 2015-04-13 · 🧮 math.DG · math.AP

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

Stefan Ivanov , Ivan Minchev , Dimiter Vassilev This is my paper

classification 🧮 math.DG math.AP

keywords quaternionicyamabeequationgroupheisenbergmanifoldsasakiansolution

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

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