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We study the homotopical minimal periods for maps on infra-solvmanifolds of type $\R$ using the density of the homotopical minimal period set in the natural numbers. This extends the result of \cite{Zhao et al} from flat manifolds to infra-solvmanifolds of type $\R$. We give some examples of maps on infra-solvmanifolds of dimension three for which the corresponding density is positive.
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참고문헌 (35)
참고문헌 신청
L. Alseda / 1995 / Minimal sets of periods for torus maps via Nielsen numbers / Pacific J. Math. 169(1):1~32
L. Block / 1980 / Periodic points and topological entropy of one-dimensional maps, Global theory of dynamical systems / Proc. Internat. Conf. :18~34
최동순 / 2005 / Free actions of finite abelian groups on 3-dimensional nilmanifolds / 대한수학회지 42(4):795~826
K. Dekimpe / 1996 / Almost-Bieberbach Groups: Affine and Polynomial Structures / Lecture Notes in Mathematics 1639
K. Dekimpe / 1995 / Affine structures for closed 3-dimensional manifolds with Nil-geometry / Quart. J. Math Oxford. (2) 46(182):141~167
L. Block / 1980 / Periodic points and topological entropy of one-dimensional maps, Global theory of dynamical systems / Proc. Internat. Conf. :18~34
최동순 / 2005 / Free actions of finite abelian groups on 3-dimensional nilmanifolds / 대한수학회지 42(4):795~826
K. Dekimpe / 1996 / Almost-Bieberbach Groups: Affine and Polynomial Structures / Lecture Notes in Mathematics 1639
K. Dekimpe / 1995 / Affine structures for closed 3-dimensional manifolds with Nil-geometry / Quart. J. Math Oxford. (2) 46(182):141~167
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