Quaternionic and para-quaternionic CR structure on (4n+3)-dimensional manifolds

• Autorzy: Dmitri Alekseevsky , Yoshinobu Kamishima
• Języki publikacji: EN

Abstrakty

EN

We define notion of a quaternionic and para-quaternionic CR structure on a (4n+3)-dimensional manifold M as a triple (ω1,ω2,ω3) of 1-forms such that the corresponding 2-forms satisfy some algebraic relations. We associate with such a structure an Einstein metric on M and establish relations between quaternionic CR structures, contact pseudo-metric 3-structures and pseudo-Sasakian 3-structures. Homogeneous examples of (para)-quaternionic CR manifolds are given and a reduction construction of non homogeneous (para)-quaternionic CR manifolds is described.

Słowa kluczowe

EN

Quaternionic Kähler structure; contact structure; CR-structure; integrability; complex structure; Sasakian 3-structure; para-quaternions; 53C55; 57S25

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 5
• Strony: 732-753

Daty

wydano

2004-10-01

online

2004-10-01

Twórcy

autor

Dmitri Alekseevsky

• Hull University

autor

Yoshinobu Kamishima

• Tokyo Metropolitan University

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475974