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CR -Manifolds of Finite Bloom–Graham Type: the Model Surface Method
Russian Journal of Mathematical Physics ( IF 1.4 ) Pub Date : 2020-05-31 , DOI: 10.1134/s1061920820020028
V. K. Beloshapka

In the paper, the model surface method is applied to arbitrary CR-manifolds of finite Bloom–Graham type. A family of basic assertions is proved. It is proved also that, for a model surface, the condition that the Bloom–Graham type is constant is a criterion for holomorphic homogeneity. Distinctions from the case of rigid models treated earlier are clarifies. A series of questions and conjectures is formulated.

中文翻译:

CR-有限布鲁姆-格雷厄姆类型的流形:模型表面方法

在本文中,模型表面方法适用于有限Bloom-Graham型的任意CR流形。证明了一系列基本断言。还证明,对于模型表面,Bloom–Graham类型恒定的条件是全纯同质性的标准。明确了与之前处理的刚性模型的区别。提出了一系列问题和猜想。
更新日期:2020-05-31
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