On geodesibility of algebrizable planar vector fields

DOI10.1007/s40590-017-0186-2zbMath1430.37052OpenAlexW2757329386MaRDI QIDQ2419450

Martín Eduardo Frías-Armenta, Elifalet López-González

Publication date: 13 June 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-017-0186-2

zbMATH Keywords

vector fieldsRiemannian metricsgeodesible vector fieldsLorch differentiability

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Geodesics in global differential geometry (53C22) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Foliations in differential topology; geometric theory (57R30) Local Riemannian geometry (53B20) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

Generalized Cauchy-Riemann equations in non-identity bases with application to the algebrizability of vector fields ⋮ On solutions of PDEs by using algebras

Cites Work

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• From Generalized Cauchy-Riemann Equations to Linear Algebras
• The Theory of Analytic Functions in Normed Abelian Vector Rings
• A Theory of Analytic Functions in Banach Algebras
• Riemannian geometry and geometric analysis

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