2024-03-28T16:54:27Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/695162022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116HORO-TIGHT IMMERSIONS OF S^1Buosi, MarceloIzumiya, ShyuichiSoares Ruas, Mria Aoarecidaopen access410We 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.Department of Mathematics, Hokkaido University2005engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83862http://hdl.handle.net/2115/6951610.14943/83862Hokkaido University Preprint Series in Mathematics71115https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69516/1/pre711.pdfapplication/pdf174.51 KB2005