Tight Beltrami fields with symmetry

DOI10.1007/s10711-008-9258-9zbMath1148.53065arXivmath/0612334OpenAlexW3102298403MaRDI QIDQ930538

Rafal Komendarczyk

Publication date: 30 June 2008

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612334

zbMATH Keywords

Beltrami fieldsnodal setscontact structurescharacteristic hypersurfaceadapted metricscurl eigenfieldsdividing sets

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global Riemannian geometry, including pinching (53C20) Global theory of symplectic and contact manifolds (53D35) General geometric structures on low-dimensional manifolds (57M50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Related Items

Beltrami vector fields with an icosahedral symmetry ⋮ Contact structures and Beltrami fields on the torus and the sphere ⋮ Tightness in contact metric 3-manifolds ⋮ Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Convexité en topologie de contact. (Convexity in contact topology)
• Nodal sets of eigenfunctions on Riemann surfaces
• Riemannsche Flächen mit Eigenwerten in \((0,1/4)\)
• Adiabatic limits of the Seiberg-Witten equations on Seifert manifolds
• On Nodal Sets for Dirac and Laplace Operators
• The classification of tight contact structures on the 3-torus
• Normal contact structures on 3-manifolds
• Normal CR structures on \(S^3\)
• On the classification of tight contact structures. I
• On the classification of tight contact structures. II.
• Classification of overtwisted contact structures on 3-manifolds
• On the nonexistence of tight contact structures
• Periodic flows on three-manifolds
• Contact topology and hydrodynamics II: solid tori
• On the contact geometry of nodal sets
• Contact topology and hydrodynamics III: knotted orbits
• Corrigenda to: Introduction to Symplectic Topology
• Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture
• The Geometries of 3-Manifolds
• Overtwisted energy-minimizing curl eigenfields
• Riemannian geometry of contact and symplectic manifolds
• Contact structures on manifolds fibered by circles above a surface
• Riemannian geometry and geometric analysis