非形式伪微分算子在形式算子上的微分主束

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2022-06-28 DOI:10.15673/pigc.v16i2.2298

Jean-Pierre Magnot

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引用次数: 0

摘要

描述了非形式经典伪微分算子在形式算子上的微分束结构及其结构群。为此，我们给出了包含Ambrose-Singer定理的(先验)无局部平凡化的微分主束的结果，并使用了作者在以前的作品中已经展示的平滑连接，最后以开放问题结束。

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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones

We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization including an Ambrose-Singer theorem, use the smoothing connections alrealy exhibited by the author in previous works, and finish with open questions.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks