Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00091407" target="_blank" >RIV/00216224:14310/14:00091407 - isvavai.cz</a>
Result on the web
<a href="http://www.ams.org/books/memo/1086/" target="_blank" >http://www.ams.org/books/memo/1086/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/memo/1086" target="_blank" >10.1090/memo/1086</a>

Result language
angličtina
Original language name
Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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