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Quasi-isometry of Pairs: Surfaces in Graph Manifolds by Nguyen, Hoang Thanh is a scholarly article available to read on EtoBox.

What is Quasi-isometry of Pairs: Surfaces in Graph Manifolds about?

We show there exists a closed graph manifold $N$ and infinitely many non-separable, horizontal surfaces $\{S_{n} \to N\}_{n \in \mathbb{N}}$ such that there does not exist a quasi-isometry $\pi_1(N) \to \pi_1(N)$ taking $\pi_1(S_{n})$ to $\pi_1(S_{m})$ within a finite Hausdorff distance when $n \neq m$.

Author

Nguyen, Hoang Thanh

Published

2018

Language

EN