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

2015/04/13 by Stefan Ivanov, Ivan Minchev, Ivanov, Stefan +3
Mathematics · #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1504.03142

openalex publication_date 2015/04/13 · openalex created_date 2023/06/06 · openalex updated_date 2026/07/28

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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