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Creators/Authors contains: "Edtmair, Oliver"

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  1. ; (, Journal of the European Mathematical Society)
    We construct the Ruelle invariant of a volume preserving flow and a symplectic cocycle in any dimension and prove several properties. In the special case of the linearized Reeb flow on the boundary of a convex domainXin\mathbb{R}^{2n}, we prove that the Ruelle invariant\operatorname{Ru}(X), the period of the systolec(X)and the volume\operatorname{vol}(X)satisfy\operatorname{Ru}(X) \cdot c(X) \le C(n) \cdot \operatorname{vol}(X). HereC(n) > 0is an explicit constant depending onn. As an application, we construct dynamically convex contact forms onS^{2n-1}that are not convex, disproving the equivalence of convexity and dynamical convexity in every dimension. 
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    Free, publicly-accessible full text available July 25, 2026