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On the flag structure and classification of the holomorphic curves on C*-algebras
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classification
math.FA
keywords
holomorphicalgebrasclassificationcurvesapplicationsbundlecaseclass
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In this note, we will define the formulas of curvature and it's covariant derivatives for holomorphic curves on C*-algebras for the multivariable case. As applications, the unitarily and similarly classification theorems for holomorphic bundle and commuting operator tuples in Cowen-Douglas class are given.
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