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Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
Abstrakt
Let f be a smooth self-map of m-dimensional, m ≥ 4, smooth closed connected and simply-connected manifold, r a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers, Ann. Polon. Math. (in press)] the topological invariant J[f] which is equal to the minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of f.
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- Kategoria:
- Publikacja w czasopiśmie
- Typ:
- artykuł w czasopiśmie wyróżnionym w JCR
- Opublikowano w:
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Central European Journal of Mathematics
nr 10,
strony 2160 - 2172,
ISSN: 1895-1074 - Język:
- angielski
- Rok wydania:
- 2012
- Opis bibliograficzny:
- Graff G., Kaczkowska A.: Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers// Central European Journal of Mathematics. -Vol. 10, nr. iss. 6 (2012), s.2160-2172
- Weryfikacja:
- Politechnika Gdańska
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