The hyperbolicity of phase curves of a generic polynomial vector field in \(\mathbb{C}^ n\)

DOI10.1007/BF01076493zbMath0848.32032MaRDI QIDQ1896951

A. A. Glutsuk

Publication date: 27 September 1995

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

curvaturevector fieldsHermitian metrichyperbolic manifoldsLojasiewicz exponentshyperbolicity of phase curves

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Differential geometry of symmetric spaces (53C35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Singularities of holomorphic vector fields and foliations (32S65) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (4)

Centennial History of Hilbert's 16th Problem ⋮ Uniformization of the leaves of a rational vector field ⋮ A polynomial counterexample to the Markus-Yamabe conjecture ⋮ Structure of leaves and the complex Kupka-Smale property

Cites Work

• On the inequality \(\Delta u \geqq f (u)\)
• Uniformization of the leaves of a rational vector field

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