Discrete Symmetry, Toral Symmetry and the Euler Characteristic of Manifolds

DOI10.2307/2047187zbMath0669.57021OpenAlexW4241306899MaRDI QIDQ3822865

Stefan Papadima

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047187

zbMATH Keywords

Euler characteristicLefschetz numberhyperbolic flowsmooth manifoldtoral rankfree action of an infinite discrete groupfree symmetry indextorus action with finite isotropy groups

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Compact Lie groups of differentiable transformations (57S15) Dynamics induced by flows and semiflows (37C10) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Noncompact Lie groups of transformations (57S20)

Related Items (2)

A note on the characteristic classes of non-positively curved manifolds ⋮ On the joint spectral radius for isometries of non-positively curved spaces and uniform growth

Cites Work

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• Symmetrien von Mannigfaltigkeiten und rationale Homotopietheorie
• Rigidity properties of compact Lie groups modulo maximal tori
• The existence of periodic points
• LIE GROUP ACTIONS ON SPACES OF FINITE RANK
• Sommes connexes fibrées en cercles
• Differentiable dynamical systems

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