
Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem
American Mathematical Society (Publisher)
Published on 30. August 2014
Book
Paperback/Softback
82 pages
978-0-8218-9843-7 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-0-8218-9843-7 (9780821898437)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Stefan Ivanov, Univ. of Sofia and Institute of Mathematics, Bulargian Academy of Sciences, Bulgaria
Ivan Minchev, University of Sofia, Bulgaria
Dimiter Vassilev, University of New Mexico, Albuquerque, USA
Ivan Minchev, University of Sofia, Bulgaria
Dimiter Vassilev, University of New Mexico, Albuquerque, USA
Content
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