On truncated logarithms of flows on a Riemannian manifold
Differential Geometry
2018-10-08 v1
Abstract
This paper gives quantitative global estimates between a time dependent flow on a Riemannian manifold and the flow of a vector field constructed by truncating the formal Magnus expansion for the logarithm of the flow. As a corollary, we also find quantitative estimates between the composition of the flows of two given time independent vector fields on and the flow of a truncated version of the Baker-Cambel-Hausdorff-Dynkin expansion associated to the two given vector fields.
Keywords
Cite
@article{arxiv.1810.02414,
title = {On truncated logarithms of flows on a Riemannian manifold},
author = {Bruce K. Driver},
journal= {arXiv preprint arXiv:1810.02414},
year = {2018}
}