Abstract
We prove Gauß-Bonnet-type and Chern-Lashof-type formulas for immersions in hyperbolic space. Moreover we investigate the notion of tightness with respect to horospheres introduced by T. E. Cecil and P. J. Ryan. We introduce the notions of top-set and drop-set, and we prove fundamental properties of horo-tightness in hyperbolic spaces. © 2012 Hebrew University Magnes Press.
Original language | English |
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Pages (from-to) | 427-459 |
Journal | Israel Journal of Mathematics |
Volume | 194 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Mar 2013 |