On Blocking Numbers of Surfaces

Details On Blocking Numbers of Surfaces On Blocking Numbers of Surfaces

2008-07-18

arxiv.org/abs/0807.2934v3

Mathematics

Differential Geometry

This is a very preliminary version of a paper about blocking numbers of compact Riemannian surfaces, the aim is to show that i

Scientific paper

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.

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