Quaternionic contact : Einstein structures and the quaternionic contact Yamabe problems /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ivanov, Stefan P. (Autor), Minchev, Ivan (Mathematics professor) (Autor), Vassilev, Dimiter N. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2014.
Colección:Memoirs of the American Mathematical Society ; no. 1086.
Temas:
Geometry, Differential.
Contact manifolds.
Group theory.
Géométrie différentielle.
Variétés de contact (Géométrie)
Théorie des groupes.
Contact manifolds
Geometry, Differential
Group theory
Acceso en línea:Texto completo
Descripción
Sumario: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 infinitesima
Notas:"Volume 231, number 1086 (third of 5 numbers), September 2014."
Descripción Física:1 online resource (v, 82 pages)
Bibliografía:Includes bibliographical references (pages 77-79) and index.
ISBN:9781470417222
1470417227
ISSN:0065-9266 ;

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