Horo-tightness and total (absolute) curvatures in hyperbolic spaces

G. Solanes, E. Teufel

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)427-459
JournalIsrael Journal of Mathematics
Volume194
Issue number1
DOIs
Publication statusPublished - 1 Mar 2013

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