Veröffentlichungen


Erschienene Arbeiten


Umberto Hryniewicz, Pedro Salomão

On the existence of disk-like global sections for Reeb flows on the tight 3-sphere

Duke Math. J. 160 (2011), no. 3, 415-465

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Umberto Hryniewicz

Fast finite-energy planes in symplectizations and applications

Trans. Amer. Math. Soc. 364 (2012), no. 4, 1859-1931

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Umberto Hryniewicz, Pedro Salomão

Global properties of tight Reeb flows with applications to Finsler geodesic flows on S²

Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 1, 1-27

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Umberto Hryniewicz

Systems of global surfaces of section for dynamically convex Reeb flows on the 3-sphere

J. Symplectic Geom. 12 (2014), no. 4, 791-862

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Umberto Hryniewicz, Al Momin, Pedro Salomão

A Poincaré-Birkhoff theorem for tight Reeb flows on S³

Invent. Math. 199 (2015), no. 2, 333-422

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Umberto Hryniewicz, Joan E. Licata, Pedro Salomão

A dynamical characterization of universally tight lens spaces

Proc. Lond. Math. Soc. (3) 110 (2015), no. 1, 213-269

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Umberto Hryniewicz, Leonardo Macarini

Local contact homology and applications

J. Topol. Anal. 7 (2015), no. 2, 167-238

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Umberto Hryniewicz, Pedro Salomão

Elliptic bindings for dynamically convex Reeb flows on the real projective three-space

Calc. Var. Partial Differential Equations 55 (2016), no. 2, Art. 43, 57 pp.

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Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão

A systolic inequality for geodesic flows on the two-sphere

Math. Ann. 367 (2017), no. 1-2, 701-753

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Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão

Sharp systolic inequalities for Reeb flows on the three-sphere

Invent. Math. 211 (2018), no. 2, 687-778

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Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão

Systolic ratio, index of closed orbits and convexity for tight contact forms on the three-sphere

Compos. Math. 154 (2018), no. 12, 

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Doris Hein, Umberto Hryniewicz, Leonardo Macarini

Transversality for local Morse homology with symmetries and applications

Math. Z. Volume 293 (2019), pg. 1513-1599

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Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão

Contact forms with large systolic ratio in dimension three

Ann. Sc. Norm. Super. Pisa, Vol. XIX (2019), Issue 4, 1561-1582

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Umberto Hryniewicz

A note on Schwartzman-Fried-Sullivan Theory, with an application

J. Fixed Point Theory Appl. 22 (2020), no. 1, Paper No. 25

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Alberto Abbondandolo, Barney Bramham, Umberto Hryniewicz, Pedro Salomão

Sharp systolic inequalities for Riemannian and Finsler spheres of revolution

Trans. Amer. Math. Soc. 347 (2021) no. 3, 1815-1845

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David Bechara Senior, Umberto Hryniewicz, Pedro Salomão

On the relation between action and linking

J. Mod. Dyn. 17 (2021) 319-336

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Umberto Hryniewicz, Pedro Salomão, Richard Siefring

Global surfaces of section with positive genus for dynamically convex Reeb flows

J. Fixed Point Theory Appl. 24, 45 (2022)

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Umberto Hryniewicz, Pedro Salomão, Kris Wysocki

Genus zero global surfaces of section for Reeb flows and a result of Birkhoff

J. Eur. Math. Soc. 25 (2023), no. 9, pp. 3365–3451

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Daniel Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings, Hui Liu

Contact three-manifolds with exactly two simple Reeb orbits

Geom. Topol. 27:9 (2023) 3801–3831

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Für die Publikation akzeptierte Arbeiten


Vincent Colin, Pierre Dehornoy, Umberto Hryniewicz, Ana Rechtman

Generic properties of 3-dimensional Reeb flows: Birkhoff sections and entropy

To appear in: Commentarii Mathematici Helvetici

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Preprints


Anna Florio, Umberto Hryniewicz

Quantitative conditions for right-handedness

arXiv:2106.12512

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Daniel Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings

Proof of Hofer-Wysocki-Zehnder's two or infinity conjecture

arXiv:2310.07636

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Umberto Hryniewicz, Michael Hutchings, Vinicius Ramos

Hopf orbits and the first ECH capacity

arXiv:2312.11830

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Andere Mitwirkungen


The problem of existence of infinitely many closed geodesics on the 2-sphere
Appendix to chapter “Morse theory, closed geodesics, and the homology of free loop spaces” by Alexandru Oancea
in Free Loop Spaces in Geometry and Topology

IRMA Lecture Series of EMS Publishing House, DOI 10.4171/153

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Doris Hein, Umberto Hryniewicz, Leonardo Macarini

Closed Reeb orbits on the sphere and symplectically degenerate maxima
(joint with Ginzburg, Hein and Macarini)
Proceedings of the conference on Geometrical Methods in Dynamics and Topology, Hanoi

Acta Math. Vietnam. 28, 55-78, 2013

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In Vorbereitung


Umberto Hryniewicz, Pedro Salomão, Richard Siefring

Symplectically slice orbits and a dynamical characterization of the 4-ball


Umberto Hryniewicz, Al Momin, Pedro Salomão

On simply linked Reeb orbits


Marcelo Alves, Umberto Hryniewicz, Abror Pirnapasov, Pedro Salomão

A Denvir-Mackay theorem for Reeb flows



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