12 citations · 54 across the 37 of their papers we have counts for
6 papers · 1 filter
Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
Shigenori Matsumoto
Given any Liouville number , it is shown that various subspaces are -dense in the space of the orientation preserving diffeomorphisms of the circle with rot…
A characterization of the standard Reeb flow
Shigenori Matsumoto
Among the topological conjugacy classes of the continuous flows whose orbit foliations are the planar Reeb foliation, there is one class called the standard Reeb flow. We…
Flows of flowable Reeb homeomorphisms
Shigenori Matsumoto
We consider a fixed point free homeomorphsim of the closed band which leaves each leaf of a Reeb foliation on invariant. Assuming is the time one of v…
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.
Derivatives of rotation number of one parameter families of circle diffeomorphisms
Shigenori Matsumoto
We consider the rotation number of a diffeomorphism , where is the rotation by and is an orientation preserving diffeomorphism of th…
A generic dimensional property of the invariant measures for circle diffeomorphisms
Shigenori Matsumoto
Given any Liouville number , it is shown that the nullity of the Hausdorff dimension of the invariant measure is generic in the space of the orientation preserving di…