English

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

Functional Analysis 2024-03-21 v1

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.

Keywords

Cite

@article{arxiv.2403.13511,
  title  = {On the flag structure and classification of the holomorphic curves on C*-algebras},
  author = {Zhimeng Chen and Jing Xu},
  journal= {arXiv preprint arXiv:2403.13511},
  year   = {2024}
}