arXiv subjects

Wing Kai Ho

Publications and source records attributed to Wing Kai Ho.

2 recordsLinked to original sources

arXiv2008

On Blocking Numbers of Surfaces

The blocking number of a manifold is the minimal number of points needed to block out lights between any two given points in the manifold. It has been conjectured that if the blocking number of a manifold is finite, then the manifold must be flat. In this paper we prove that this is true for 2-dimensional manifolds with non-trivial fundamental groups.

math.DG↗

arXiv2006

Manifolds without 1/k-geodesic

It is a question by C.Sormani that whether there exists a $k \in \mathbb N$, such that any compact, smooth and simply connected manifold has a 1/k-geodesic. We prove in this paper that this is not true by showing for each $k$, there exists a metric on the sphere such that it has no 1/k-geodesic.

math.DG↗