NILMANIFOLD

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On the density of Birkhoff sums for Anosov diffeomorphisms
《Science China Mathematics》2022年第2期319-330,共12页Shaobo Gan Yi Shi Mingyang Xia 
supported by National Natural Science Foundation of China(Grant Nos.11771025 and 11831001);supported by National Natural Science Foundation of China(Grant Nos.12071007 and 11831001)。
Let f : M → M be an Anosov diffeomorphism on a nilmanifold. We consider Birkhoff sums for a Holder continuous observation along periodic orbits. We show that if there are two Birkhoff sums distributed at both sides o...
关键词：Anosov diffeomorphism Birkhoff sum periodic point NILMANIFOLD 
Nielsen type numbers and homotopy minimal periods for maps on the 3-nilmanifolds
《Science China Mathematics》2008年第3期351-360,共10页Jong Bum LEE 
the Sogang University (KOREA) Research Grant in 2006 and in part by a grant from ABRL by Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (Grant No. H00021);a BMEC grant (Grant No. KZ200710025012)
For all continuous maps on the 3-nilmanifolds, we give explicit formulae for a complete computation of the Nielsen type numbers NP_n(f)and Nφ_n(f). The most general cases were explored by Heath and Keppelmann and the...
关键词：homotopy minimal period Nielsen number Nielsen type number NILMANIFOLD 55M20 57S30 
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