3 citations · 4 across the 5 of their papers we have counts for
5 papers
Periodic Orbits on Obtuse Edge Tessellating Polygons
Benjamin R. Baer, Faheem Gilani, Zhigang Han +1
A periodic orbit on a frictionless billiard table is a piecewise linear path of a billiard ball that begins and ends at the same point with the same angle of incidence. The period…
Constructing the fixed point of a non-isometric plane similarity
Zhigang Han, Ron Umble
We present an algorithm for constructing the fixed point of a general non-isometric similarity of the plane.
A nonextension result on the spectral metric
Zhigang Han
The spectral metric, defined by Schwarz and Oh using Floer-theoretical method, is a bi-invariant metric on the Hamiltonian diffeomorphism group. We show in this note that for certa…
The bounded isometry conjecture for the Kodaira-Thurston manifold and 4-Torus
Zhigang Han
The purpose of this note is to study the bounded isometry conjecture proposed by Lalonde and Polterovich. In particular, we show that the conjecture holds for the Kodaira-Thurston…
Bi-invariant metrics on the group of symplectomorphisms
Zhigang Han
This paper studies the extension of the Hofer metric and general Finsler metrics on Hamiltonian symplectomorphism group to the identity component of symple…