Hokkaido University Preprint Series in Mathematics
Volume:
711
Start Page:
1
End Page:
5
Abstract:
We characterize horo-tight immersions into Dm in terms of a family of real valued functions parametrized by Sm−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 S1 into hyperbolic space.