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math.DS2013
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…
math.DS2013
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…