Horo-tight spheres in hyperbolic space

Author:

Buosi Marcelo,Izumiya Shyuichi,Ruas Maria Aparecida Soares

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference18 articles.

1. Banchoff T.F.: Tightly embedded 2-dimensional polyhedral manifolds. Amer. J. Math. 87, 462–472 (1965)

2. Bryant, R.L.: Surfaces of mean curvature one in hyperbolyc space. Théorie de variétés minimales et applications (Palaiseau, 1983-1984), Astèrisque No. 154–155, (1987), 12, 321–347, 353 (1988)

3. Bolton J.: Tight immersions into manifolds without conjugate points. Quart. J. Math. Oxf. 33(2), 159–167 (1982)

4. Buosi M., Izumiya S., Ruas M.A.: Total absolute horospherical curvature of submanifolds in Hyperbolic space. Adv. Geom. 10, 603–620 (2010)

5. Buosi, M., Izumiya, S., Ruas, M.A.: Horo-tight circles in hyperbolic space. preprint (2008)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Duality and geometry of horocyclic evolutes in hyperbolic plane;Research in the Mathematical Sciences;2024-02-29

2. Total lightcone curvatures of spacelike submanifolds in Lorentz–Minkowski space;Differential Geometry and its Applications;2014-06

3. Horo-tightness and total (absolute) curvatures in hyperbolic spaces;Israel Journal of Mathematics;2012-07-13

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