Regularisation C∞ des champs vectoriels qui préservent l'élément de volume

DOI10.1007/BF02584629zbMath0497.58019MaRDI QIDQ3962214

Carlos Zuppa

Publication date: 1979

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

zbMATH Keywords

approximating an r-times differentiable volume preserving flow by an infinitely differentiable volume preserving flow

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Smooth approximations in differential topology (57R12) Dynamics induced by flows and semiflows (37C10)

Related Items (20)

Stability properties of divergence-free vector fields ⋮ Divergence-free vector fields with orbital shadowing ⋮ Divergence-free vector fields with inverse shadowing ⋮ Kinematic N-expansive continuous dynamical systems ⋮ On the regularization of conservative maps ⋮ On the conservative pasting lemma ⋮ Most invariant manifolds of conservative systems have transitive closure ⋮ Topological stability for conservative systems ⋮ On the entropy of conservative flows ⋮ Asymptotic measure expansive flows ⋮ Flows with ergodic pseudo orbit tracing property ⋮ Abundance of elliptic dynamics on conservative three-flows ⋮ Continuum-wise expansiveness for non-conservative or conservative systems ⋮ A generic incompressible flow is topological mixing ⋮ On \(C^1\)-robust transitivity of volume-preserving flows ⋮ A pasting lemma and some applications for conservative systems ⋮ The Lyapunov exponents of generic zero divergence three-dimensional vector fields ⋮ Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows ⋮ Hyperbolicity in the volume-preserving scenario ⋮ Contributions to the geometric and ergodic theory of conservative flows

Cites Work

• On the Volume Elements on a Manifold
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