Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem - Couverture souple

Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter

Couverture souple

ISBN 10 : 0821898434 ISBN 13 : 9780821898437

Editeur : American Mathematical Society, 2014

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.

A propos du livre

À propos de l?auteur

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

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2014
• Langue: anglais
• ISBN 10: 0821898434
• ISBN 13: 9780821898437
• Reliure: Broché
• Nombre de pages: 82
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible