Geodesic
Quaternionic-like structures on a manifold: Note II. Automorphism groups and their interrelations
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 4 (1993) no. 1, pp. 53-61

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We consider different types of quaternionic-like structures. The interrelations between automorphism groups of the subordinated structures and of some admissible connections are studied. A characterization of automorphisms of a quaternionic structure as some kind of projective transformations is given. General results on harmonicity of an automorphism of some \( G \)-structure are obtained and applied to the case of an almost Hermitian quaternionic structure. Different noteworthy transformations groups of quaternionic Kähler or hyperKähler manifolds and their interrelations are studied. In particular, new characterizations of quaternionic Kähler manifolds that admit a quaternionic automorphism \( \varphi \) different from an isometry are given. This Note follows a Note I with the same general title, published in these Rendiconti, [2], and it is preliminary to a wider memoir just mentioned in previous one. 
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     author = {Alekseevsky, Dmitri V. and Marchiafava, Stefano},
     title = {Quaternionic-like structures on a manifold: {Note} {II.} {Automorphism} groups and their interrelations},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {53--61},
     publisher = {mathdoc},
     volume = {Ser. 9, 4},
     number = {1},
     year = {1993},
     zbl = {0831.53021},
     mrnumber = {MR1225887},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_1_a4/}
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Alekseevsky, Dmitri V.; Marchiafava, Stefano. Quaternionic-like structures on a manifold: Note II. Automorphism groups and their interrelations. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 4 (1993) no. 1, pp. 53-61. http://geodesic.mathdoc.fr/item/RLIN_1993_9_4_1_a4/