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arXiv · 1610.02254

The Bott-Samelson theorem for positive Legendrian isotopies

Lucas Dahinden
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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.

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Lucas Dahinden. 2016-10-07. The Bott-Samelson theorem for positive Legendrian isotopies. https://doi.org/10.1007/s12188-017-0180-7

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