TY  - BOOK
AU  - Ivanov,Stefan
AU  - Minchev,Ivan
AU  - Vassilev,Dimiter
TI  - Quaternionic contact Einstein structures and the quaternionic contact yamabe problems
T2  - Memoirs of the American Mathematical Society
SN  - 9780821898437 (pbk. : acidfree paper)
U1  - 510 23
PY  - 2014///
CY  - Providence
PB  - American Mathematical Society
KW  - Differential Geometry
KW  - Contact manifolds
KW  - Group theory
N1  - "Volume 231, number 1086 (third of 5 numbers), September 2014."; Includes bibliographical references (pages 77-79) and index; 1. Introduction--
2. Quaternionic contact structures and the Biquard connection --
3. The torsion and curvature of the Biquard connection --
4. QC-Einstein quaternionic contact structures --
5. Conformal transformations of a qc-structure --
6. Special functions and pseudo-Einstein quaternionic contact structures --
7. Infinitesimal Automorphisms --
8. Quaternionic contact Yamabe problem--
Bibliography--
Index
N2  - 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
ER  -