On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume

@article{Nardulli2015OnTH,
  title={On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume},
  author={Stefano Nardulli and Francesco G. Russo},
  journal={arXiv: Differential Geometry},
  year={2015}
}
We contribute to an original problem studied by Hamilton and others, in order to understand the behaviour of maximal solutions of the Ricci flow both in compact and non-compact complete orientable Riemannian manifolds of finite volume. The case of dimension two has peculiarities, which force us to use different ideas from the corresponding higher dimensional case. We show the existence of connected regions with a connected complementary set (the so-called "separating regions"). In dimension… Expand
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