Search Results - "Hryniewicz, Umberto L"

A note on Schwartzman–Fried–Sullivan Theory, with an application by Hryniewicz, Umberto L.

“…We prove a theorem on the existence of global surfaces of section with prescribed spanning orbits and homology class. This result is a modification and a…”
Get full text

A systolic inequality for geodesic flows on the two-sphere by Abbondandolo, Alberto, Bramham, Barney, Hryniewicz, Umberto L., Salomão, Pedro A. S.

“…For a Riemannian metric g on the two-sphere, let ℓ min ( g ) be the length of the shortest closed geodesic and ℓ max ( g ) be the length of the longest simple…”
Get full text

A dynamical characterization of universally tight lens spaces by Hryniewicz, Umberto L., Licata, Joan E., Salomão, Pedro A. S.

“…We give necessary and sufficient conditions for a closed connected co‐orientable contact 3‐manifold (M,ξ) to be a standard lens space based on assumptions on…”
Get full text

Elliptic bindings for dynamically convex Reeb flows on the real projective three-space by Hryniewicz, Umberto L., Salomão, Pedro A. S.

“…The first result of this paper is that every contact form on R P 3 sufficiently C ∞ -close to a dynamically convex contact form admits an elliptic–parabolic…”
Get full text

Sharp systolic inequalities for Reeb flows on the three-sphere by Abbondandolo, Alberto, Bramham, Barney, Hryniewicz, Umberto L., Salomão, Pedro A. S.

“…The systolic ratio of a contact form α on the three-sphere is the quantity ρ sys ( α ) = T min ( α ) 2 vol ( S 3 , α ∧ d α ) , where T min ( α ) is the minimal…”
Get full text

Genus zero global surfaces of section for Reeb flows and a result of Birkhoff by Hryniewicz, Umberto L., Salomão, Pedro A. S., Wysocki, Krzysztof

“…We exhibit sufficient conditions for a finite collection of periodic orbits of a Reeb flow on a closed 3 -manifold to bound a positive global surface of…”
Get full text

Global surfaces of section with positive genus for dynamically convex Reeb flows by Hryniewicz, Umberto L., Salomão, Pedro A. S., Siefring, Richard

“…We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus,…”
Get full text

Closed Reeb orbits on the sphere and symplectically degenerate maxima by Ginzburg, Viktor L., Hein, Doris, Hryniewicz, Umberto L., Macarini, Leonardo

“…We show that the existence of one simple closed Reeb orbit of a particular type (a symplectically degenerate maximum) forces the Reeb flow to have infinitely…”
Get full text

A note on Schwartzman-Fried-Sullivan Theory, with an application by Hryniewicz, Umberto L

“…We prove a theorem on the existence of global surfaces of section with prescribed spanning orbits and homology class. This result is a modification and a…”
Get full text

Global surfaces of section with positive genus for dynamically convex Reeb flows by Hryniewicz, Umberto L, Salomão, Pedro A. S, Siefring, Richard

“…We establish some new existence results for global surfaces of section of dynamically convex Reeb flows on the three-sphere. These sections often have genus,…”
Get full text

On the relation between action and linking by Senior, David Bechara, Hryniewicz, Umberto L, Salomão, Pedro A. S

“…We introduce numerical invariants of contact forms in dimension three and use asymptotic cycles to estimate them. As a consequence, we prove a version for…”
Get full text

Genus zero global surfaces of section for Reeb flows and a result of Birkhoff by Hryniewicz, Umberto L, Salomão, Pedro A. S, Wysocki, Krzysztof

“…We exhibit sufficient conditions for a finite collection of periodic orbits of a Reeb flow on a closed $3$-manifold to bound a positive global surface of…”
Get full text

Global surfaces of section for Reeb flows in dimension three and beyond by Hryniewicz, Umberto L, Salomão, Pedro A. S

“…We survey some recent developments in the quest for global surfaces of section for Reeb flows in dimension three using methods from Symplectic Topology. We…”
Get full text

Transversality for local Morse homology with symmetries and applications by Hein, Doris, Hryniewicz, Umberto L, Macarini, Leonardo

“…We prove the transversality result necessary for defining local Morse chain complexes with finite cyclic group symmetry. Our arguments use special regularized…”
Get full text

Elliptic bindings for dynamically convex Reeb flows on the real projective three-space by Hryniewicz, Umberto L, Salomão, Pedro A. S

“…The first result of this paper is that every contact form on $\mathbb{R} P^3$ sufficiently $C^\infty$-close to a dynamically convex contact form admits an…”
Get full text

Sharp systolic inequalities for Riemannian and Finsler spheres of revolution by Abbondandolo, Alberto, Bramham, Barney, Hryniewicz, Umberto L, Salomão, Pedro A. S

“…Trans. Amer. Math. Soc. 374 (2021), 1815-1845 We prove that the systolic ratio of a sphere of revolution $S$ does not exceed $\pi$ and equals $\pi$ if and only…”
Get full text

Contact forms with large systolic ratio in dimension three by Abbondandolo, Alberto, Bramham, Barney, Hryniewicz, Umberto L, Salomão, Pedro A. S

“…Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2019), 1561-1582 The systolic ratio of a contact form on a closed three-manifold is the quotient of the square of…”
Get full text

A systolic inequality for geodesic flows on the two-sphere by Abbondandolo, Alberto, Bramham, Barney, Hryniewicz, Umberto L, Salomão, Pedro A. S

“…Math. Ann. 367 (2017), 701-753 For a Riemannian metric $g$ on the two-sphere, let $\ell_{\min}(g)$ be the length of the shortest closed geodesic and…”
Get full text

Closed Reeb orbits on the sphere and symplectically degenerate maxima by Ginzburg, Viktor L, Hein, Doris, Hryniewicz, Umberto L, Macarini, Leonardo

“…We show that the existence of one simple closed Reeb orbit of a particular type (a symplectically degenerate maximum) forces the Reeb flow to have infinitely…”
Get full text

A dynamical characterization of universally tight lens spaces by Hryniewicz, Umberto L, Licata, Joan E, Salomão, Pedro A. S

“…We give necessary and sufficient conditions for a closed connected co-orientable contact $3$-manifold $(M,\xi)$ to be a standard lens space based on…”
Get full text