Conformal holonomy of bi-invariant metrics

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dc.creatorLeitner, Felipe
dc.date2004-06-15
dc.date.accessioned2026-07-07T05:09:15Z
dc.date.available2026-07-07T05:09:15Z
dc.descriptionWe discuss in this paper the conformal geometry of bi-invariant metrics on compact semisimple Lie groups. For this purpose we develop a conformal Cartan calculus adapted to this problem. In particular, we derive an explicit formula for the holonomy algebra of the normal conformal Cartan connection of a bi-invariant metric. As an example, we apply this calculus to the group $\SO(4)$. Its conformal holonomy group is calculated to be $\SO(7)$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0406299
dc.identifierhttp://arxiv.org/abs/math/0406299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71561
dc.subjectDifferential Geometry
dc.subject53A30; 53C29
dc.titleConformal holonomy of bi-invariant metrics
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