Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem (Memoirs of the American Mathematical Society) - Softcover

Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter

Softcover

ISBN 10: 0821898434 ISBN 13: 9780821898437

Publisher: Amer Mathematical Society

Synopsis

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.

About this title

About the Author

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

Edition details

• Publisher: Amer Mathematical Society
• Language: English
• ISBN 10: 0821898434
• ISBN 13: 9780821898437
• Binding: Paperback
• Number of pages: 82