Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\)

DOI10.1007/s12346-013-0099-zzbMath1417.37096OpenAlexW2474450051MaRDI QIDQ384853

Jaume Llibre, Juan Luis García Guirao

Publication date: 29 November 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-013-0099-z

zbMATH Keywords

periodic pointcomplex projective spaceLefschetz numberperiodLefschetz zeta functionLefschetz number for periodic pointquaternion projective spacetransversal map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Generalized Dold sequences on partially-ordered sets ⋮ Generating sequences of Lefschetz numbers of iterates ⋮ Periodic expansion in determining minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms ⋮ A note on the periodic structure of transversal maps on the torus and products of spheres ⋮ Periodic structure of transversal maps on sum-free products of spheres ⋮ Periods of continuous maps on some compact spaces ⋮ Periodic structure of the transversal maps on surfaces

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