Quaternionic contact : Einstein structures and the quaternionic contact Yamabe problem
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Bibliographic Information
Quaternionic contact : Einstein structures and the quaternionic contact Yamabe problem
（Memoirs of the American Mathematical Society, no. 1086）
American Mathematical Society, c2014
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"September 2014, volume 231, number 1086 (third of 5 numbers)."
Includes bibliographical references (p. 77-79) and index
Description and Table of Contents
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.
Table of Contents
Introduction Quaternionic contact structures and the Biquard connection The torsion and curvature of the Biquard connection QC-Einstein quaternionic contact structures Conformal transformations of a qc-structure Special functions and pseudo-Einstein quaternionic contact structures Infinitesimal Automorphisms Quaternionic contact Yamabe problem Biibliography Index
by "Nielsen BookData"
