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math.DG2015
The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds
Stefan Ivanov, Dimiter Vassilev
We report on some aspects and recent progress in certain problems in the sub-Riemannian CR and quaternionic contact (QC) geometries. The focus are the corresponding Yamabe problems…
math.DG2015
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
A complete solution to the quaternionic contact Yamabe equation on the qc sphere of dimension as well as on the quaternionic Heisenberg group is given. A uniqueness theorem…