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

被引：1
作者：
Solanes, G. [1 ]
Teufel, E. [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain
[2] Univ Stuttgart, Fachbereich Math, D-70550 Stuttgart, Germany
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 194卷 / 01期
关键词：
TAUT IMMERSIONS; CONVEX-BODIES; MANIFOLDS; SUBMANIFOLDS; HOROSPHERES; BOUNDARY; THEOREM; SURFACES; GEOMETRY; POINTS;
D O I：
10.1007/s11856-012-0099-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Gau-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.
引用
收藏
页码：427 / 459
页数：33
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