Dimension des orbites d'une action de \({\mathbb{R}}^ p\) sur une variété compacte. (The dimension of orbits of \({\mathbb{R}}^ p\)-actions on compact manifolds)

DOI10.1007/BF02566765zbMath0671.57026OpenAlexW2356187603MaRDI QIDQ1119935

Francisco-Javier Turiel, Pierre Molino

Publication date: 1988

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140120

zbMATH Keywords

\({\mathbb{R}}^ p\)-actioncommuting, everywhere linearly independent vector fieldsminimum orbit dimensionrank of manifold

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Foliations in differential topology; geometric theory (57R30) Noncompact Lie groups of transformations (57S20)

Related Items (4)

Champs de vecteurs analytiques commutants, en dimension 3 ou 4: existence de zeros communs ⋮ Existence of common zeros for commuting vector fields on three manifolds ⋮ Smooth actions of Lie groups and Lie algebras on manifolds ⋮ Zero sets of Lie algebras of analytic vector fields on real and complex two-dimensional manifolds

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