scholarly journals Total Curvature of Complete Surfaces in Hyperbolic Space

2015 ◽  
pp. 57-59
Author(s):  
Jun O’Hara ◽  
Gil Solanes
Keyword(s):  
Hyperbolic Space ◽  
Total Curvature ◽  
Complete Surfaces

scholarly journals Complete surfaces with finite total curvature

1991 ◽  
Vol 33 (1) ◽  
pp. 139-168 ◽  
Author(s):  
Peter Li ◽  
Luen-Fai Tam
Keyword(s):  
Total Curvature ◽  
Finite Total Curvature ◽  
Complete Surfaces

Complete surfaces in the hyperbolic space with a constant principal curvature

2005 ◽  
Vol 278 (10) ◽  
pp. 1111-1116 ◽  
Author(s):  
Juan A. Aledo ◽  
José A. Gálvez
Keyword(s):  
Hyperbolic Space ◽  
Principal Curvature ◽  
Complete Surfaces

scholarly journals An application of Moser iteration to complete minimal submanifolds in a sphere

2004 ◽  
Vol 76 (2) ◽  
pp. 151-166
Author(s):  
Leung-Fu Cheung ◽  
Pui-Fai Leung
Keyword(s):  
Hyperbolic Space ◽  
Fundamental Form ◽  
Ricci Curvature ◽  
Iteration Method ◽  
Total Curvature ◽  
Minimal Submanifolds ◽  
Second Fundamental Form ◽  
Minimal Submanifold ◽  
Moser Iteration ◽  
The Second Fundamental Form

AbstractWe apply the Moser iteration method to obtain a pointwise bound on the norm of the second fundamental form from a bound on its Ln norm for a complete minimal submanifold in a sphere. As an application we show that a complete minimal submanifold in a sphere with finite total curvature and Ricci curvature bounded away from -∞ must be compact. This complements similar results of Osserman and Oliveira in the case the ambient space is the Euclidean and the hyperbolic space respectively.

Distance Distribution between Complex Network Nodes in Hyperbolic Space

2016 ◽  
Vol 25 (3) ◽  
pp. 223-236 ◽  
Author(s):  
Gregorio Alanis-Lobato ◽  
Miguel A. Andrade-Navarro ◽  
Keyword(s):  
Complex Network ◽  
Hyperbolic Space ◽  
Distance Distribution ◽  
Network Nodes

Density of tube packings in hyperbolic space

2004 ◽  
Vol 214 (1) ◽  
pp. 127-145 ◽  
Author(s):  
Andrew Przeworski
Keyword(s):  
Hyperbolic Space
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