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Jahnke, Max Reinhold ORCID: 0000-0001-9311-6974 and Braun Rodrigues, Nicholas ORCID: 0000-0003-2200-3627 (2025). A class of globally analytic hypoelliptic operators on compact Lie groups. The Journal of Geometric Analysis, 35 (9). p. 16. Springer Nature. ISSN 1050-6926

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Abstract

[Artikel-Nr.: 265] We obtain global analytic hypoellipticity for a class of differential operators that can be expressed as P = ∑ν j=1 X 2 j + X0 +a with real-analytic coefficients on compact Lie groups such that the vector fields satisfy Hörmander’s finite type condition; there exists a closed subgroup whose action leaves the vector fields invariant; and the operator must be elliptic in directions transversal to the action of the subgroup. This paves the way for further studies on the regularity of sums of squares on principal fiber bundles

Item Type:	Article
Creators:	Creators Email ORCID ORCID Put Code Jahnke, Max Reinhold UNSPECIFIED https://orcid.org/0000-0001-9311-6974 UNSPECIFIED Braun Rodrigues, Nicholas UNSPECIFIED https://orcid.org/0000-0003-2200-3627 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-810057
Identification Number:	10.1007/s12220-025-02100-6
Journal or Publication Title:	The Journal of Geometric Analysis
Volume:	35
Number:	9
Page Range:	p. 16
Number of Pages:	16
Date:	10 July 2025
Publisher:	Springer Nature
ISSN:	1050-6926
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	Mathematics
['eprint_fieldname_oa_funders' not defined]:	Publikationsfonds UzK
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/81005