Surugadai Nihon University Hospital

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20022025

most citedGRB 221009A: Discovery of an Exceptionally Rare Nearby and Energetic Gamma-Ray Burst

112 citations

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9 papers · 1 filter

math.DS2014★ 1 cited

Remarks on the horocycle flows for foliations by hyperbolic surfaces

Shigenori Matsumoto

We show that the horocycle flow associated with a foliation on a compact manifold by hyperbolic surfaces is minimal under certain conditions.

math.DS2014★ 1 cited

Kinematic expansive suspensions of irrational rotations on the circle

Shigenori Matsumoto

We shall show that the rotation of some irrational rotation number on the circle admits suspensions which are kinematic expansive.

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 $M$ which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are…

math.DS2013

Nontrivial attractor-repellor maps of $S^{2}$ and rotation numbers

Shigenori Matsumoto

We consider an orientation preserving homeomorphism $h$ of $S^{2}$ which admits a repellor denoted $\infty$ and an attractor $- \infty$ , which is not a North-South map, such that the…

math.DS2011

Flows of flowable Reeb homeomorphisms

Shigenori Matsumoto

We consider a fixed point free homeomorphsim $h$ of the closed band $B = R \times [0, 1]$ which leaves each leaf of a Reeb foliation on $B$ invariant. Assuming $h$ is the time one of v…

math.DS2011

Derivatives of rotation number of one parameter families of circle diffeomorphisms

Shigenori Matsumoto

We consider the rotation number $ρ (t)$ of a diffeomorphism $f_{t} = R_{t} \circ f$ , where $R_{t}$ is the rotation by $t$ and $f$ is an orientation preserving $C^{\infty}$ diffeomorphism of th…

Remarks on the horocycle flows for foliations by hyperbolic surfaces

Kinematic expansive suspensions of irrational rotations on the circle

Conitinuous leafwise harmonic functions on codimension one transversely isometric foliations

Nontrivial attractor-repellor maps of S2 and rotation numbers

Flows of flowable Reeb homeomorphisms

Derivatives of rotation number of one parameter families of circle diffeomorphisms

Nontrivial attractor-repellor maps of $S^{2}$ and rotation numbers