4 papers
Modification of Convex Ends to Cylindrical and Symplectic Foliations
Yoshihiko Mitsumatsu
We show that the natural symplectic structure on the Milnor fiber of an isolated singularity in complex three variables whose link fibers over the circle can be modified into one w…
Derivatives of flat functions
Hiroki Kodama, Kazuo Masuda, Yoshihiko Mitsumatsu
We remark that there is no smooth function on which is flat at such that the derivative of any order is positive on . Moreover, the n…
Geometry and dynamics of Engel structures
Yoshihiko Mitsumatsu
The aim of this paper is to extend basic understanding of Engel structures through developing geometric constructions which are canonical to a certain degree and the dynamics of Ca…
Reeb components with complex leaves and their symmetries I : The automorphism groups and Schröder's equation on the half line
Tomohiro Horiuchi, Yoshihiko Mitsumatsu
We review the standard Hopf construction of Reeb components with leafwise complex structure and determine the group of leafwise holomorphic smooth automorphisms for tame Reeb compo…