naa a22 4500 510783236 CHVBK 20180411083254.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11856-012-0099-8 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0099-8 Horo-tightness and total (absolute) curvatures in hyperbolic spaces [Elektronische Daten] [G. Solanes, E. Teufel] 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. Hebrew University Magnes Press, 2012 Solanes G. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain aut Teufel E. Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, 70550, Stuttgart, Germany aut Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 427-459 0021-2172 194:1<427 2013 194 11856 https://doi.org/10.1007/s11856-012-0099-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0099-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Solanes G. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain aut NATIONALLICENCE 700 1- Teufel E. Fachbereich Mathematik, Universität Stuttgart, Pfaffenwaldring 57, 70550, Stuttgart, Germany aut NATIONALLICENCE 773 0- Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 427-459 0021-2172 194:1<427 2013 194 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer