# HORO-TIGHT IMMERSIONS OF S^1

Preprint Series # 711
Buosi, Marcelo and Izumiya, Shyuichi and Soares Ruas, Mria Aoarecida HORO-TIGHT IMMERSIONS OF S^1. (2005);

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## Abstract

We characterize horo-tight immersions into $\D^m$ in terms of a family of real valued functions parametrized by $\Ss^{m-1}$. By means of such functions we provide an elementary proof that horo-tightness and tightness are equivalent properties in the class of immersions from $S^1$ into hyperbolic space.

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