Lefschetz numbers and asymptotic periods

Karol Gryszka

doi:10.18778/8331-092-3

Lefschetz numbers and asymptotic periods

Karol Gryszka

Pedagogical University of Kraków, Institute of Mathematics, Poland

Publication:

Analitic and Algebraic Geometry 4

Pages: 67-73

DOI: https://doi.org/10.18778/8331-092-3.06

Keywords: algebraic Geometry, Analitic Geometry

Published: 28 December 2022

Categories: Mathematics, Open Access

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In this note we prove several results linking Lefschetz numbers with asymptotic behaviour of the orbit in flows. With the aid of the Lefschetz fixed point theorem and the presence of a non-trivial limit set we prove the existence of asymptotically non-periodic orbits.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Gryszka, K. (2022). Lefschetz numbers and asymptotic periods. In T. Krasiński & S. Spodzieja (Eds.), Analitic and Algebraic Geometry 4 (pp. 67-73). Lodz University Press. https://doi.org/10.18778/8331-092-3.06

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Lefschetz numbers and asymptotic periods

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