On Lie algebras associated with a spray
Differential Geometry
2023-06-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2201.10867,
title = {On Lie algebras associated with a spray},
author = {Manelo Anona and Hasina Ratovoarimanana},
journal= {arXiv preprint arXiv:2201.10867},
year = {2023}
}