A1 Journal article (refereed)
Left-invariant distributions diffeomorphic to flat distributions (2024)

Nicolussi Golo, S., & Ottazzi, A. (2024). Left-invariant distributions diffeomorphic to flat distributions. Geometriae Dedicata, 218(2), Article 56. https://doi.org/10.1007/s10711-024-00905-3

JYU authors or editors

Publication details

All authors or editors: Nicolussi Golo, Sebastiano; Ottazzi, Alessandro

Journal or series: Geometriae Dedicata

ISSN: 0046-5755

eISSN: 1572-9168

Publication year: 2024

Publication date: 13/03/2024

Volume: 218

Issue number: 2

Article number: 56

Publisher: Springer Science and Business Media LLC

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1007/s10711-024-00905-3

Publication open access: Openly available

Publication channel open access: Partially open access channel

Abstract

For a stratified group G, we construct a class of Lie groups endowed with a left-invariant distribution locally diffeomorphic to the flat distribution of G. Vice versa, we show that all Lie groups with a left-invariant distribution that is locally diffeomorphic to the flat distribution of G belong to the class we constructed, if the Lie algebra of G has finite Tanaka prolongation.

Keywords: Lie groups; differential geometry

Free keywords: flat distributions; Tanaka prolongation; stratified Lie groups; contact structures; quasi-conformal maps

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Related projects

Ministry reporting: Yes

Reporting Year: 2024

Preliminary JUFO rating: 2