국가지식-학술정보
FINITENESS AND VANISHING RESULTS ON HYPERSURFACES WITH FINITE INDEX IN ℝ<sup>n+1</sup>: A REVISION
- 대한수학회
- Bulletin of the Korean Mathematical Society
- Vol.59 No.3
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2022.01709 - 723 (15 pages)
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DOI : 10.4134/BKMS.b210426
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In this note, we revise some vanishing and finiteness results on hypersurfaces with finite index in ℝ<sup>n+1</sup>. When the hypersurface is stable minimal, we show that there is no nontrivial L<sup>2p</sup> harmonic 1-form for some p. The our range of p is better than those in [7]. With the same range of p, we also give finiteness results on minimal hypersurfaces with finite index.
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