충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제34권4호
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  • Pages.369-378
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  • 2021
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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FUNDAMENTAL TONE OF COMPLETE WEAKLY STABLE CONSTANT MEAN CURVATURE HYPERSURFACES IN HYPERBOLIC SPACE

  • Min, Sung-Hong (Department of Mathematics Chungnam National University)
  • 투고 : 2021.08.18
  • 심사 : 2021.10.12
  • 발행 : 2021.11.15
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초록

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.

키워드

과제정보

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (Grant Number: 2017R1D1A1B03036369).

참고문헌

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