Search results for "Circle bundle"

showing 2 items of 2 documents

Actions de IR et courbure de ricci du Fibré unitaire tangent des surfaces

1986

Characterisation of 2-dimensional Riemannian manifolds (M, g) (in particular, of surfaces with constant gaussian curvatureK=1/c2, o,−1/c2, respectively) whose tangent circle bundle (TcM, gs) (gs=Sasaki metric) admit an «almost-regular» vector field belonging to an eigenspace of the Ricci operator.

Pure mathematicsGeneral MathematicsCircle bundleGaussianMathematical analysisTangentsymbols.namesakeUnit tangent bundlesymbolsVector fieldMathematics::Differential GeometryExponential map (Riemannian geometry)Ricci curvatureEigenvalues and eigenvectorsMathematicsRendiconti del Circolo Matematico di Palermo
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Seifert manifolds admitting partially hyperbolic diffeomorphisms

2017

We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.

Surface (mathematics)Pure mathematicsMathematics::Dynamical SystemsCircle bundle[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Dynamical Systems (math.DS)01 natural sciences[MATH.MATH-GN]Mathematics [math]/General Topology [math.GN]0103 physical sciencesFOS: MathematicsMSC: Primary: 37D30 37C15; Secondary: 57R30 55R05.Mathematics - Dynamical Systems0101 mathematicsMathematics::Symplectic GeometrySeifert spacesMathematics - General TopologyMathematicsTransitive relationAlgebra and Number TheoryApplied Mathematics010102 general mathematicsGeneral Topology (math.GN)Mathematics::Geometric TopologyFlow (mathematics)Partially hyperbolic diffeomorphisms010307 mathematical physicsDiffeomorphismAnalysis
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