2 citations · 2 across the 9 of their papers we have counts for
9 papers
Optimal geodesics for boundary points of the Gardiner-Masur compactification
Xiaoke Lou, Weixu Su, Dong Tan
The Gardiner-Masur compactification of Teichmüller space is homeomorphic to the horofunction compactification of the Teichmüller metric. Let and be a pair of boundary point…
Phase-isometries on the unit sphere of
Dongni Tan, Yueli Gao
We say that a map between the unit spheres of two real normed-spaces and is a phase-isometry if it satisfies \begin{eqnarray*} \{\|T(x)+T(y)\|, \|T(…
A property in vector-valued function spaces
Kexin Zhao, Dongni Tan
This paper deals with a property which is equivalent to generalised-lushness for separable spaces. It thus may be seemed as a geometrical property of a Banach space which ensures t…
Phase-isometries on real normed spaces
Xujian Huang, Dongni Tan
We say that a mapping between two real normed spaces is a phase-isometry if it satisfies the functional equation \begin{eqnarray*} \{\|f(x)+f(y)\|, \|f(x)-f(y)…
Horospheres in Teichmüller space and mapping class group
Weixu Su, Dong Tan
We study the geometry of horospheres in Teichmüller space of Riemann surfaces of genus g with n punctures, where . We show that every -diffeomorphism of Teichmül…
Mappings of preserving -distance one in -normed spaces
Xujian Huang, Dongni Tan
We give a positive answer to the Aleksandrov problem in -normed spaces under the surjectivity assumption. Namely, we show that every surjective mapping preserving -distance o…