Homotopy minimal period self-maps on flat manifolds

被引：4

作者：

Hoffman, Jerome W. ^{[1
]}

Liang, Z. ^{[2
,3
]}

Sakai, Yukiko ^{[4
]}

Zhao, Xuezhi ^{[5
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

[3] Beijing Int Ctr Math Res, Beijing, Peoples R China

[4] Kitasato Univ, Coll Liberal Arts & Sci, Dept Math, Sagamihara, Kanagawa 2520373, Japan

[5] Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100048, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2013年 / 248卷

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Homotopical minimal period; Flat manifold; Self-map; Period point; Holonomy; EXPANDING MAPS;

D O I：

10.1016/j.aim.2013.08.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the homotopical minimal period set for self-maps on flat manifolds. We introduce a new invariant: the density of the homotopical minimal period set in the natural numbers. Some conditions on self-maps and flat manifolds are obtained so that the corresponding density is positive. (c) 2013 Elsevier Inc. All rights reserved.

引用

页码：324 / 334

页数：11

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