Minimization of the number of periodic points for smooth selfmaps of simplyconnected manifolds with periodic sequence of Lefschetz numbers
Abstract
Let f be a smooth selfmap of mdimensional, m ≥ 4, smooth closed connected and simplyconnected 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 selfmaps of simplyconnected 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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 Category:
 Articles
 Type:
 artykuł w czasopiśmie wyróżnionym w JCR
 Published in:

Central European Journal of Mathematics
no. 10,
pages 2160  2172,
ISSN: 18951074  Language:
 English
 Publication year:
 2012
 Bibliographic description:
 Graff G., Kaczkowska A.: Minimization of the number of periodic points for smooth selfmaps of simplyconnected manifolds with periodic sequence of Lefschetz numbers// Central European Journal of Mathematics. Vol. 10, nr. iss. 6 (2012), s.21602172
 Verified by:
 Gdańsk University of Technology
Referenced datasets
 dataset Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simplyconnected manifolds of dimension 4 and homology groups with the sum of ranks less or equal to10
 dataset Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simplyconnected manifolds of dimension 6 and homology groups with the sum of ranks less or equal to10
 dataset Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simplyconnected manifolds of dimension 5 and homology groups with the sum of ranks less or equal to10
 dataset Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simplyconnected manifolds of dimension 8 and homology groups with the sum of ranks less or equal to 10
 dataset Minimal number of periodic points with the periods less or equal to r in the smooth homotopy class of simplyconnected manifolds of dimension 7 and homology groups with the sum of ranks less or equal to10
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