CLASSIFICATION OF ALMOST CONTACT METRIC STRUCTURES ON 3D LIE GROUPS

CLASSIFICATION OF ALMOST CONTACT METRIC STRUCTURES ON 3D LIE GROUPS

We study almost contact metric structures on 3-dimensional Lie algebras and investigate the class of left invariant almost contact metric structures on the corresponding Lie groups. We introduce a general approach and we obtain a full classification in dimension three.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-04, Vol.271 (2), p.210-222
1. Verfasser: Beldjilali, Gherici
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Classification
Lie groups
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We study almost contact metric structures on 3-dimensional Lie algebras and investigate the class of left invariant almost contact metric structures on the corresponding Lie groups. We introduce a general approach and we obtain a full classification in dimension three.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06374-5