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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.
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Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem. Memoirs of the American Mathematical Society; 1086.
Editore:
Providence, American Math. Soc, 2014
ISBN 10: 0821898434
ISBN 13: 9780821898437
Antico o usato
Softcover
Da: Antiquariat Bookfarm, Löbnitz, Germania
Valutazione del venditore 5 su 5 stelle
Softcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00001 9780821898437 Sprache: Englisch Gewicht in Gramm: 350. Codice articolo 2482500
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