Abstract
We give a rigidity theorem of proper holomorphic mappings between generalized pseudoellipsoids. The theorem claims that any proper holomorphic mapping which is holomorphic extendable up to the boundary between generalized pseudoellipsoids of non-equidimensions is a collections of totally geodesic embeddings up to automorphisms.
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Hayashimoto, A. (2015). Classification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different Dimensions. In: Bracci, F., Byun, J., Gaussier, H., Hirachi, K., Kim, KT., Shcherbina, N. (eds) Complex Analysis and Geometry. Springer Proceedings in Mathematics & Statistics, vol 144. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55744-9_10
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DOI: https://doi.org/10.1007/978-4-431-55744-9_10
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