MATH-LiB Online Catalogue

Mathematics Information Resource Centre, Department of Mathematics, IISc, Bangalore.

On the compactness of isometry groups in complex analysis

On the compactness of isometry groups in complex analysis - Bangalore: Department of Mathematics, Indian Institute of Science: 2006 - We prove that the group of continuous isometries for the Kobayashi or Carath´eodory metrics of a strongly convex domain in Cn is compact unless the domain is biholomorphic to the ball. A key ingredient, proved using differential geometric ideas, is that a

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