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Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem (Memoirs of the American Mathematical Society)

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Description

A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A ``3-Hamiltonian form'' of infinitesimal conformal automorphisms of quaternionic contact structures is presented.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 September 2014
Listed Since
20 June 2014

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