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4 papers · 1 filter
Canonical Torsion-Free Connections on the Total Space of the Tangent and the Cotangent Bundle
Lionel Bérard Bergery, Thomas Krantz
In this paper we define a class of torsion-free connections on the total space of the (co-)tangent bundle over a base-manifold with a connection and for which tangent spaces to the…
Holonomy representations which are a diagonal direct sum of two faithful representations
Thomas Krantz
We study holonomy representations admitting a pair of supplementary faithful sub-representations. In particular the cases where the sub-representations are isomorphic respectively…
Jordan algebras, geometry of Hermitian symmetric spaces and non-commutative Hardy spaces
Khalid Koufany
These notes were written following lectures I had the pleasure of giving on this subject at Keio University, during November and December 2004. The first part is about new applicat…
Characterization of Poisson integrals on non-tube bounded symmetric domains
Abdelhamid Boussejra, Khalid Koufany
We characterize the -range, , of the Poisson transform on the Shilov boundary for non-tube bounded symmetric domains. We prove that this range is a Hua-Hardy…