FUKUI KAZUHIKO

FUKUI KAZUHIKO

Position:Professor
Research Fields :Differential Topology
e-mail
Degree: Doctor of Science (Kyoto University)


Courses Taught

Sets and Mappings A, B, Geometry A, B, Advanced Studies in Mathematics I, Advanced course in Geometry A, B, Advanced Studies in Mathematics II.

Research

Subjects of my researches are as follows


  • Computation of the first homology of the homeomorphism group and its subgroups [3)-1, 3, 4, 5 ]
  • Study on topological properties of homeomorphism groups and mapping spaces [3)-2 ]
  • Study on the group of diffeomorphisms preserving a foliation with singularity

Selected Publications

  • On the first homology of the group of equivariant Lipschitz hoeomorphisms, J. Math. Soc. Japan, 58-1 (2006), 1-15. (with K. Abe and T.Miura)
  • A topological property of Lipschitz mappings, Topology and its Applications, 148 (2005), 143-152 (with T. Nakamura)
  • On the structure of the group of Lipschitz hoeomorphisms and its applications, II, J. Math. Soc. Japan, 55-4 (2003), 947-956. (with K. Abe)
  • On the structure of the group of equivariant diffeomorphisms of G-manifolds with codimension one orbit, Topology, 40-1 (2001),1325-1337. (with K. Abe)
  • On commutators of foliation preserving homeomorphisms, J. Math. Soc. Japan, 51-1 (1999), 227-236. (with H. Imanishi)
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