Dynamical convexity and closed orbits on symmetric spheres-Reference-Cited by-同舟云学术

Dynamical convexity and closed orbits on symmetric spheres

Published:2021-04-15 Issue:6 Volume:170 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Ginzburg Viktor L.¹,Macarini Leonardo²

Affiliation:

1. Department of Mathematics, University of California Santa Cruz, Santa Cruz, California, USA

2. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

Publisher

Duke University Press

Subject

General Mathematics

Reference25 articles.

1. M. Abreu and L. Macarini, Multiplicity of periodic orbits for dynamically convex contact forms, J. Fixed Point Theory Appl. 19 (2017), no. 1, 175–204.

2. M. Abreu, L. Macarini, and M. Moreira, On contact invariants of non-simply connected Gorenstein toric contact manifolds, preprint, arXiv:1812.10361v1 [math.SG].

3. V. I. Arnold, Mathematical Methods of Classical Mechanics, 2nd ed., Grad. Texts in Math. 60, Springer, New York, 1989.

4. M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and Riemannian geometry, I, Math. Proc. Cambridge Philos. Soc. 77 (1975), 43–69.

5. D. Cristofaro-Gardiner and M. Hutchings, From one Reeb orbit to two, J. Differential Geom. 102 (2016), no. 1, 25–36.

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