Abstract
Let M be a n-dimensional manifold with the same homology than the n-dimensional sphere. A C1 map f : M → M is called transversal if for all m ∈ ℕ the graph of fm intersects transversally the diagonal of M × M at each point (x, x) such that x is a fixed point of fm. We study the minimal set of periods of f by using the Lefschetz numbers for periodic points. In the particular case that n is even, we also study the set of periods for the transversal holomorphic self-maps of M.
Original language | English |
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Pages (from-to) | 417-422 |
Journal | Journal of Difference Equations and Applications |
Volume | 9 |
DOIs | |
Publication status | Published - 1 Mar 2003 |
Keywords
- Holomorphic maps
- Homological sphere maps
- Lefschetz fixed point theory
- Periodic points
- Set of periods
- Transversal maps