Displaying similar documents to “Quaternionic-like structures on a manifold: Note II. Automorphism groups and their interrelations”

Quaternionic-like structures on a manifold: Note I. 1-integrability and integrability conditions

Dmitri V. Alekseevsky, Stefano Marchiafava (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This Note will be followed by a Note II in these Rendiconti and successively by a wider and more detailed memoir to appear next. Here six quaternionic-like structures on a manifold M (almost quaternionic, hypercomplex, unimodular quaternionic, unimodular hypercomplex, Hermitian quaternionic, Hermitian hypercomplex) are defined and interrelations between them are studied in the framework of general theory of G-structures. Special connections are associated to these structures. 1-integrability...

From Sasakian 3-structures to quaternionic geometry

Yoshiyuki Watanabe, Hiroshi Mori (1998)

Archivum Mathematicum

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We construct a family of almost quaternionic Hermitian structures from an almost contact metric 3-structure and also do three kinds of quaternionic Kähler structures from a Sasakian 3-structure. In particular we have a generalization of the second main result of Boyer-Galicki-Mann [5].