5 citations · 14 across the 12 of their papers we have counts for
13 papers
Real analytic lift of foliations of Thurston and Tsuboi
Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita
Thurston constructed codimension one foliations on thereby proved that the homomorphism induced by the Godbillon-Vey inv…
There exist no contact Anosov diffeomorphisms
Masayuki Asaoka, Yoshihiko Mitsumatsu
For any Anosov diffeomorphims on a closed odd dimensional manifold, there exists no invariant contact structure.
On the existence of critical compatible metrics on contact -manifolds
Yoshihiko Mitsumatsu, Daniel Peralta-Salas, Radu Slobodeanu
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact -manifolds. More precisely, we show that a contact -manifold…
Remarks on flat -bundles, vs
Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita
We describe low dimensional homology groups of in terms of Haefliger's classifying space by applying a theorem of Thurston. Then we consider…
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…
Lefschetz fibrations on the Milnor fibers of cusp and simple elliptic singularities
Naohiko Kasuya, Hiroki Kodama, Yoshihiko Mitsumatsu +1
We show that the total space of the Milnor fibration associated with any cusp or simple elliptic singularity in complex three variables admits an -parametric genus-one Lefsche…
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…
Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One
Yoshihiko Mitsumatsu, Elmar Vogt
We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane fie…
Normally contracting Lie group actions
Takashi Inaba, Yoshihiko Mitsumatsu, Shigenori Matsumoto
We show that there are no normally contracting actions of unimodular Lie groups on closed manifolds.
Leafwise Symplectic Structures on Lawson's Foliation (3rd revised)
Yoshihiko Mitsumatsu
The aim of this paper is to show that Lawson's foliation on the 5-sphere admits a smooth leafwise symplectic structure. The main part of the construction is to show that the Fermat…
Anosov actions of (n-1)-dimensional Lie groups on n-dimensional manifolds
Takashi Inaba, Shigenori Matsumoto, Yoshihiko Mitsumatsu
We show that there are no Anosov actions by (n-1)-dimensional unimodular Lie groups on closed n-dimensional manifolds.