Complex structures adapted to smooth vector fields

DOI10.1007/s002080100206zbMath1047.37032OpenAlexW2007662501MaRDI QIDQ1598176

Jesus Muciño-Raymundo

Publication date: 29 May 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080100206

zbMATH Keywords

Riemann surfaceflat (Riemannian) metricmeromorphic/smooth vector fieldPoincaré-Hopf index formula

Mathematics Subject Classification ID

Ordinary differential equations on complex manifolds (34M45) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (17)

Meromorphic quadratic differentials with prescribed singularities ⋮ On the geometric mean of a pair of oriented, meromorphic foliations. I ⋮ Integrability and adapted complex structures to smooth vector fields on the plane ⋮ On the separatrix graph of a rational vector field on the Riemann sphere ⋮ Dynamics of singular complex analytic vector fields with essential singularities II ⋮ Remarks on rational vector fields on \(\mathbb{CP}^1\) ⋮ Dynamics of singular complex analytic vector fields with essential singularities I ⋮ Plotting the polyhedral geometry of a quadratic differential ⋮ On geodesibility of algebrizable planar vector fields ⋮ Flat curves ⋮ On meromorphic parameterizations of real algebraic curves ⋮ Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere ⋮ Classification of complex polynomial vector fields in one complex variable ⋮ Classification of rational 1-forms on the Riemann sphere up to \(\text{PSL}(2,\mathbb{C})\) ⋮ Newton vector fields on the plane and on the torus ⋮ Geometry and dynamics of the Schur-Cohn stability algorithm for one variable polynomials ⋮ Topological and analytical classification of vector fields with only isochronous centres

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