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arXiv · 2403.13511

On the flag structure and classification of the holomorphic curves on C*-algebras

Zhimeng Chen·Jing Xu
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Abstract

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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Zhimeng Chen, Jing Xu. 2024-03-20. On the flag structure and classification of the holomorphic curves on C*-algebras. https://arxiv.org/abs/2403.13511

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