4 citations · 5 across the 5 of their papers we have counts for
5 papers
Star-shaped trajectories of certain billiards around a triangle
Takeo Noda, Shin-ichi Yasutomi, Masamichi Yoshida
We explore the triangle outer billiards map in points at infinity in the hyperbolic plane, focusing on the rotation number. Building on Dogru and Tabachnikov's work, which establis…
Billiards in a circle with trajectories circumscribing a triangle
Takeo Noda, Shin-ichi Yasutomi
Dogru and Tabachnikov in 2003 explored the polygonal outer billiard map in the hyperbolic plane and introduced a class of convex polygons called 'large'. They particularly sought c…
A remark on Chapple-Euler Theorem in non Euclidean geometry
Takeo Noda, Shin-ichi Yasutomi
In non-Euclidean geometry, there are several known correspondings to Chapple-Euler Theorem. This remark shows that those results yield expressions corredponding to the well-known f…
On -dimensional foliated dynamical systems and Hilbert type reciprocity law
Junhyeong Kim, Masanori Morishita, Takeo Noda +1
We show some fundamental results concerning -dimensional foliated dynamical systems (FDS for short) introduced by Deninger. Firstly, we give a decomposition theorem for an F…
Homotopy classes of total foliations and bi-contact structures on three-manifolds
Masayuki Asaoka, Emmanuel Dufraine, Takeo Noda
On every compact and orientable three-manifold, we construct total foliations (three codimension 1 foliations that are transverse at every point). This construction can be performe…