Lucas Dahinden

most citedThe Bott-Samelson theorem for positive Legendrian isotopies

3 citations · 3 across the 1 of their papers we have counts for

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math.SG2018

Positive topological entropy of positive contactomorphisms

Lucas Dahinden

A positive contactomorphism of a contact manifold $M$ is the end point of a contact isotopy on $M$ that is always positively transverse to the contact structure. Assume that $M$ co…

math.SG2016★ 3 cited

The Bott-Samelson theorem for positive Legendrian isotopies

Lucas Dahinden

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 manifol…

math.SG2016

Lower complexity bounds for positive contactomorphisms

Lucas Dahinden

Let $S^{*} Q$ be the spherization of a closed connected manifold of dimension at least two. Consider a contactomorphism $φ$ that can be reached by a contact isotopy that is everywhere…