English

The Jacobi flow

Differential Geometry 2016-09-06 v1

Abstract

The geodesic flow on the tangent bundle is the flow of a certain vector field which is called the spray S:TMTTMS:TM\to TTM. The flow lines of the vector field \kaTM\oTS:TTMTTTM\ka_{TM}\o TS:TTM\to TTTM project to the Jacobi fields on TMTM. This could be called the Jacobi flow.

Cite

@article{arxiv.math/9611223,
  title  = {The Jacobi flow},
  author = {Peter W. Michor},
  journal= {arXiv preprint arXiv:math/9611223},
  year   = {2016}
}