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Showing 1 to 3 of 3 for “"bounded symmetric domains"”.
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Invariant Frechet algebras on bounded symmetric domains
<p>Let D be a bounded domain in the complex vector space Cn . We say that D is symmetric iff, given any two points p, q ∈ D, there is a biholomorphism &phis;, which interchanges p and q. These domains were classified abstractly by Elie Cartan in his general study of symmetric spaces, and were …
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On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains
… first Chern Class, when is its universal cover a Bounded Symmetric Domain? And if it is, which Bounded Symmetric Domain is it? Existing literature is discussed, with particular attention given to two recent papers of Catanese and Di Scala ([CDS12] and [CDS]) which answer both questions first for …
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Balanced metrics on complex vector bundles and the diastatic exponential of a symmetric space
… bundles and the diastatic exponential of a symmetric space. Correspondingly we have two main results. In the first one we prove that if a holomorphic vector bundle E over a compact Kähler manifold (M,ω) admits a ω-balanced metric then this metric is unique. In the second one, after defining …