On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds
2020 ◽
Vol 2020
(767)
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pp. 161-191
Keyword(s):
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.
2014 ◽
Vol 25
(14)
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pp. 1450121
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1972 ◽
Vol 45
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pp. 139-165
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2015 ◽
Vol 26
(02)
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pp. 1550014
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2011 ◽
Vol 54
(1)
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pp. 67-75
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2001 ◽
Vol 198
(1)
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pp. 175-196
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1996 ◽
Vol 45
(4)
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pp. 0-0
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1990 ◽
Vol 61
(1)
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pp. 195-206
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Keyword(s):
2007 ◽
Vol 20
(04)
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pp. 1091-1111
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