12 citations · 54 across the 37 of their papers we have counts for
4 papers · 1 filter
Actions of groups of diffeomorphisms on one-manifolds
Shigenori Matsumoto
Denote by $\DC(M)_0$ the identity component of the group of compactly supported diffeomorphisms of a connected manifold , and by $\HR$ the group of the hom…
New proofs of theorems of Kathryn Mann
Shigenori Matsumoto
We give a shorter proof of the following theorem of Kathryn Mann \cite{M}: the identity component of the group of the compactly supported diffeomorphisms of cannot adm…
Conitinuous leafwise harmonic functions on codimension one transversely isometric foliations
Shigenori Matsumoto
Let $\FF$ be a codimension one foliation on a closed manifold which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are…
Nontrivial attractor-repellor maps of and rotation numbers
Shigenori Matsumoto
We consider an orientation preserving homeomorphism of which admits a repellor denoted and an attractor , which is not a North-South map, such that the…