Geometry of three manifolds and existence of Black Hole due to boundary effect

@inproceedings{Yau2002GeometryOT,
  title={Geometry of three manifolds and existence of Black Hole due to boundary effect},
  author={S T Yau},
  year={2002}
}
In this paper, we observe that the brane functional studied in [5] can be used to generalize some of the works that Schoen and I [4] did many years ago. The key idea is that if a three dimensional manifold M has a boundary with strongly positive mean curvature, the effect of this mean curvature can influence the internal geometry of M . For example, if the scalar curvature of M is greater than certain constant related to this boundary effect, no incompressible surface of higher genus can exist… CONTINUE READING
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