In 1850, Liouville proved that any C^4 conformal map between domains in R^3 is necessarily the restriction of the action of one element of O(1,4). Cowling, De Mari, Koranyi and Reimann recently proved a Liouville type result: they defined a generalized contact structure on homogeneous spaces of the type G/P, where G is a semisimple Lie group and P a minimal parabolic subgroup, and they show that the group of contact mappings coincides with G. In this paper, we consider the problem of characterizing the contact mappings on a natural class of submanifolds of G/P, namely the Hessenberg manifolds.

Ottazzi, A. (2005). Multicontact vector fields on Hessenberg manifolds. JOURNAL OF LIE THEORY, 15(2), 357-377.

Multicontact vector fields on Hessenberg manifolds

OTTAZZI, ALESSANDRO
2005

Abstract

In 1850, Liouville proved that any C^4 conformal map between domains in R^3 is necessarily the restriction of the action of one element of O(1,4). Cowling, De Mari, Koranyi and Reimann recently proved a Liouville type result: they defined a generalized contact structure on homogeneous spaces of the type G/P, where G is a semisimple Lie group and P a minimal parabolic subgroup, and they show that the group of contact mappings coincides with G. In this paper, we consider the problem of characterizing the contact mappings on a natural class of submanifolds of G/P, namely the Hessenberg manifolds.
Articolo in rivista - Articolo scientifico
contact structure; multicontact structure; Hessenberg manifolds; Liouville Theorem; conformal map.
English
357
377
21
Ottazzi, A. (2005). Multicontact vector fields on Hessenberg manifolds. JOURNAL OF LIE THEORY, 15(2), 357-377.
Ottazzi, A
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/6166
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