scholarly journals Asymptotic plateau problem in $${\mathbb H}^2\times {\mathbb R}$$ H 2 × R

2018 ◽  
Vol 24 (5) ◽  
pp. 4811-4838
Author(s):  
Baris Coskunuzer
Keyword(s):  
Plateau Problem ◽  
Asymptotic Plateau Problem

scholarly journals Complete minimal discs in Hadamard manifolds

2017 ◽  
Vol 10 (4) ◽  
pp. 315-330 ◽  
Author(s):  
Jaime Ripoll ◽  
Friedrich Tomi
Keyword(s):  
Volume Growth ◽  
Plateau Problem ◽  
Hadamard Manifolds ◽  
Classical Approach ◽  
Asymptotic Plateau Problem ◽  
Strong Curvature

AbstractUsing the classical approach we show the existence of disc type solutions to the asymptotic Plateau problem in certain Hadamard manifolds which may have arbitrarily strong curvature and volume growth.

scholarly journals Asymptotic Plateau problem for prescribed mean curvature hypersurfaces

2020 ◽  
Vol 148 (4) ◽  
pp. 1731-1743
Author(s):  
Jean-Baptiste Casteras ◽  
Ilkka Holopainen ◽  
Jaime B. Ripoll
Keyword(s):  
Mean Curvature ◽  
Plateau Problem ◽  
Prescribed Mean Curvature ◽  
Asymptotic Plateau Problem
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