The Bott-Samelson theorem for positive Legendrian isotopies
Symplectic Geometry
2017-06-09 v2
Abstract
The classical Bott-Samelson theorem states that if on a Riemannian manifold all geodesics issuing from a certain point return to this point, then the universal cover of the manifold has the cohomology ring of a compact rank one symmetric space. This result on geodesic flows has been generalized to Reeb flows and partially to positive Legendrian isotopies by Frauenfelder-Labrousse-Schlenk. We prove the full theorem for positive Legendrian isotopies.
Keywords
Cite
@article{arxiv.1610.02254,
title = {The Bott-Samelson theorem for positive Legendrian isotopies},
author = {Lucas Dahinden},
journal= {arXiv preprint arXiv:1610.02254},
year = {2017}
}