A bound for the fixed point index of area-preserving homeomorphisms of two-manifolds

DOI10.1017/S0143385700004132zbMath0632.58014MaRDI QIDQ3769648

Edward E. Slaminka, Stephan Pelikan

Publication date: 1987

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

area-preserving mapsBrouwer lemmafree modificationnice measure

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30)

Related Items (12)

An equivariant foliated version of Brouwer's translation theorem ⋮ About the homological discrete Conley index of isolated invariant acyclic continua ⋮ Fixed points of the area preserving Poincaré maps on two-manifolds ⋮ Existence of periodic points near an isolated fixed point with Lefschetz index one and zero rotation for area preserving surface homeomorphisms ⋮ A fixed point theorem for plane separating continua ⋮ An index that refines the Poincaré-Lefschetz index for surface homeomorphisms ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ Periodic orbits of Hamiltonian homeomorphisms of surfaces ⋮ Invariant manifolds near a minimizer ⋮ Dynamique des homéomorphismes du plan au voisinage d'un point fixe ⋮ Barcodes and area-preserving homeomorphisms ⋮ Prime ends rotation numbers and periodic points

Cites Work

• Sur les plongements, admettant zéro ou un point fixe, du disque dans le plan
• A bound for the fixed-point index of an area-preserving map with applications to mechanics

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