# Extrinsic diameter of immersed flat tori in the 3-sphere II

## TL;DR

This paper proves that under specific topological conditions, the extrinsic diameter of immersed flat tori in the 3-sphere is exactly π, based on properties of their asymptotic curves in the Hopf fibration.

## Contribution

It establishes a precise diameter bound for immersed flat tori in the 3-sphere under certain topological assumptions, extending previous geometric results.

## Key findings

- Extrinsic diameter of flat tori is π under given conditions
- Topological conditions relate to asymptotic curves and Hopf fibration
- Provides geometric bounds for immersed flat tori in S^3

## Abstract

We show that the extrinsic diameter of immersed flat tori in the 3-sphere is $\pi$ under a certain topological condition for the projection of their asymptotic curves with respect to the Hopf fibration.