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- 2020
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- Gdańsk University of Technology
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Estimates for minimal number of periodic points for smooth self-maps of simply-connected manifolds
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- G. Graff
- A. Myszkowski
We consider a closed smooth connected and simply-connected manifold of dimension at least 4 and its self-map f. The topological invariant Dr[f] is equal to the minimal number of r-periodic points in the smooth homotopy class of f. We assume that r is odd and all coefficients b(k) of so-called periodic expansion of Lefschetz numbers of iterations are...

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Estimates for minimal number of periodic points for smooth self-maps of simply-connected manifolds