Helicity and the Mañé critical value

DOI10.2140/agt.2009.9.1413zbMath1181.53035arXiv0902.2903OpenAlexW3100360149WikidataQ124906773 ScholiaQ124906773MaRDI QIDQ834379

Gabriel P. Paternain

Publication date: 20 August 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2903

zbMATH Keywords

contact structurehelicitymagnetic flowMañe critical value

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

• Symplectic topology of Mañé's critical values
• The Jones-Witten invariant for flows on a 3-dimensional manifold
• Topological methods in hydrodynamics
• Magnetic rigidity of horocycle flows
• The Seiberg-Witten equations and the Weinstein conjecture
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Four applications of conformal equivalence to geometry and dynamics
• Lagrangian flows: The dynamics of globally minimizing orbits
• Anosov magnetic flows, critical values and topological entropy
• The degree of knottedness of tangled vortex lines
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