scholarly journals ON A CERTAIN CLASS OF WEINGARTEN SURFACES IN SOL SPACE

Author(s):  
Z. Erjavec
2020 ◽  
Vol 2020 (767) ◽  
pp. 161-191
Author(s):  
Otis Chodosh ◽  
Michael Eichmair

AbstractWe extend the Lyapunov–Schmidt analysis of outlying stable constant mean curvature spheres in the work of S. Brendle and the second-named author [S. Brendle and M. Eichmair, Isoperimetric and Weingarten surfaces in the Schwarzschild manifold, J. Differential Geom. 94 2013, 3, 387–407] to the “far-off-center” regime and to include general Schwarzschild asymptotics. We obtain sharp existence and non-existence results for large stable constant mean curvature spheres that depend delicately on the behavior of scalar curvature at infinity.


2020 ◽  
Vol 66 (1) ◽  
pp. 89-98
Author(s):  
Henrique F. De Lima ◽  
Fábio R. Dos Santos

2015 ◽  
Vol 40 ◽  
pp. 25-33 ◽  
Author(s):  
Udo Hertrich-Jeromin ◽  
◽  
Klara Mundilova ◽  
Ekkehard-Heinrich Tjaden
Keyword(s):  

1997 ◽  
Vol 6 (2) ◽  
pp. 243-255 ◽  
Author(s):  
Fabiano Gustavo Braga Brito ◽  
Ricardo Sa Earp
Keyword(s):  

1997 ◽  
Vol 40 (10) ◽  
pp. 1028-1035 ◽  
Author(s):  
Weihuan Chen ◽  
Haizhong Li

1999 ◽  
Vol 98 (3) ◽  
pp. 307-320 ◽  
Author(s):  
Franki Dillen ◽  
Wolfgang Kühnel
Keyword(s):  

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