C1 SELF-MAPS ON Sn, Sn x Sm, CPn AND HPn WITH ALL THEIR PERIODIC ORBITS HYPERBOLIC

被引：0
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作者：
Garcia Guirao, Juan Luis [1 ]
Llibre, Jaume [2 ]
机构：
[1] Univ Politecn Cartagena, Hosp Marina, Dept Matemat Aplicada & Estadist, Cartagena 30203, Region De Murci, Spain
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 01期
关键词：
Hyperbolic periodic point; Period; Lefschetz zeta function; Lefschetz number; Sphere; Complex projective space; Quaternion projective space; POINTS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study in its homological class the periodic structure of the C-1 self-maps on the manifolds S-n (the n-dimensional sphere), S-n x S-m(the product space of the n-dimensional with the m dimensional spheres), CPn (the n-dimensional complex projective space) and HPn (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.
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页码：323 / 334
页数：12
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