Nielsen spectrum of maps on infra-solvmanifolds modeled on Sol0⁴

키워드

참고문헌 (26)

1. Y. Choi, "Nielsen theory on infra-nilmanifolds modeled on the group of uni-triangular matrices", Fixed Point Theory, 20, pp.438~506 (2019)
2. Alexander Fel'shtyn, "The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type (R)", Topology and its Applications, 181, pp.62~103 (2015), Elsevier BV[DOI]
3. A. Fel'shtyn, "Dynamics and numbers", pp.77~103 (2016), Amer. Math. Soc
4. Alexander Fel’shtyn, "The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R)and periodic orbits", Journal of Fixed Point Theory and Applications, 20(2), pp.31~ (2018), Springer Science and Business Media LLC[DOI]
5. Ku Yong Ha, "Crystallographic groups of Sol", Mathematische Nachrichten, 286(16), pp.1614~1667 (2013), Wiley[DOI]
6. Ku Yong Ha, "The R1 property for crystallographic groups of Sol", Topology and its Applications, 181, pp.112~133 (2015), Elsevier BV[DOI]
7. Ku Yong Ha, "The Nielsen type numbers for maps on a 3-dimensional flat Riemannian manifold", Topological Methods in Nonlinear Analysis, 45(2), pp.327~362 (2015), Uniwersytet Mikolaja Kopernika[DOI]
8. K. Y. Ha, "Averaging formula for Nielsen numbers of maps on infra-solvmanifolds of type(R)|corrigendum", Nagoya Math. J, 221, pp.207~212 (2016)
9. Ku Yong Ha, "Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds", Fixed Point Theory and Applications, 2012(1), pp.39~ (2012), Springer Science and Business Media LLC[DOI]
10. M. Inoue, "New surfaces with no meromorphic functions", Proceedings of the International Congress of Mathematicians, 1, pp.423~426 (1974), Canad. Math. Congress
11. B. J. Jiang, "Lectures on Nielsen Fixed Point Theory" (1983), American Mathematical Society
12. Jang Hyun Jo, "Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with Sol41-geometry", Fixed Point Theory and Applications, 2015(1), pp.15~ (2015), Springer Science and Business Media LLC[DOI]
13. Jang Hyun Jo, "Nielsen fixed point theory on infra-solvmanifolds of Sol", Topol. Methods Non-linear Anal, 49(1), pp.325~350 (2017), Uniwersytet Mikolaja Kopernika[DOI]
14. Seung Won Kim, "Averaging Formula for Nielsen Numbers", Nagoya Mathematical Journal, 178, pp.37~53 (2005), Cambridge University Press (CUP)[DOI]
15. 김현중, "Computation of the Nielsen type numbers for maps on the Klein bottle", 대한수학회지, 45(5), pp.1483~1503 (2008), 대한수학회
16. Jong Bum Lee, "Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds", Journal of Geometry and Physics, 56(10), pp.2011~2023 (2006), Elsevier BV[DOI]
17. Jong Bum Lee, "Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)", Nagoya Mathematical Journal, 196, pp.117~134 (2009), Cambridge University Press (CUP)[DOI]
18. 이종범, "Unimodular groups of type $\mathbb R^3\rtimes \mathbb R$", 대한수학회지, 44(5), pp.1121~1137 (2007), 대한수학회
19. J. B. Lee, "Trends in Algebraic Topology and Related Topics, Trends Math", pp.177~195 (2019), Springer
20. J. B. Lee, "Homotopy minimal periods for expanding maps on infra-nilmanifolds", J. Math. Soc. Japan, 59(1), pp.179~184 (2007)
21. 이종범, "Density of the homotopy minimal periods of maps on infra-solvmanifolds of type $\R$", 대한수학회지, 55(2), pp.293~311 (2018), 대한수학회
22. K. B. Lee, "Seifert Fiberings" (2010), American Mathematical Society
23. 이경배, "INFRA-SOLVMANIFOLDS OF Sol1₄", 대한수학회지, 52(6), pp.1209~1251 (2015), 대한수학회
24. Scott Van Thuong, "Classification of closed manifolds with $${\mathrm{Sol}_1}^{4}$$ Sol 1 4 -geometry", Geometriae Dedicata, 199(1), pp.373~397 (2019), Springer Science and Business Media LLC[DOI]
25. C.T.C. Wall, "Geometric structures on compact complex analytic surfaces", Topology, 25(2), pp.119~153 (1986), Elsevier BV[DOI]
26. Burkhard Wilking, "Rigidity of group actions on solvable Lie groups", Mathematische Annalen, 317(2), pp.195~237 (2000), Springer Science and Business Media LLC[DOI]

관련 논문AI추천