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http://dx.doi.org/10.14403/jcms.2021.34.4.369

FUNDAMENTAL TONE OF COMPLETE WEAKLY STABLE CONSTANT MEAN CURVATURE HYPERSURFACES IN HYPERBOLIC SPACE  

Min, Sung-Hong (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.34, no.4, 2021 , pp. 369-378 More about this Journal
Abstract
In this paper, we give an upper bound for the fundamental tone of stable constant mean curvature hypersurfaces in hyperbolic space. Let M be an n-dimensional complete non-compact constant mean curvature hypersurface with finite L2-norm of the traceless second fundamental form. If M is weakly stable, then λ1(M) is bounded above by n2 + O(n2+s) for arbitrary s > 0.
Keywords
constant mean curvature hypersurface; stable; hyperbolic space; fundamental tone;
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Times Cited By KSCI : 1  (Citation Analysis)
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