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research
Rigidity of minimal submanifolds in hyperbolic space
Authors
D. Hoffman
G. Yun
+10Â more
H. Cao
H.P. McKean
K. Seo
Keomkyo Seo
L. Ni
L.F. Cheung
M.T. Anderson
P.F. Leung
S.W. Wei
X. Wang
Publication date
20 February 2010
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
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on
arXiv
Abstract
We prove that if an
n
n
n
-dimensional complete minimal submanifold
M
M
M
in hyperbolic space has sufficiently small total scalar curvature then
M
M
M
has only one end. We also prove that for such
M
M
M
there exist no nontrivial
L
2
L^2
L
2
harmonic 1-forms on
M
M
M
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Last time updated on 01/04/2019