Manelo Anona ; Hasina Ratovoarimanana - On Lie algebras associated with a spray

cm:9007 - Communications in Mathematics, October 21, 2022, Volume 30 (2022), Issue 2 (Special Issue: CIMPA School "Nonassociative Algebras and Its Applications", Madagascar 2021) - https://doi.org/10.46298/cm.9007
On Lie algebras associated with a sprayArticle

Authors: Manelo Anona ; Hasina Ratovoarimanana

The Lie algebra of infinitesimal isometries of a Riemannian manifold contains at most two commutative ideals. One coming from the horizontal nullity space of the Nijenhuis tensor of the canonical connection, the other coming from the constant vectors fields independent of the Riemannian metric.

https://doi.org/10.46298/cm.9007
Source: arXiv.org:2201.10867
Volume: Volume 30 (2022), Issue 2 (Special Issue: CIMPA School "Nonassociative Algebras and Its Applications", Madagascar 2021)
Published on: October 21, 2022
Accepted on: June 26, 2022
Submitted on: January 27, 2022
Keywords: Mathematics - Differential Geometry, 53XX, 17B66, 53B05, 53C08
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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