Lp p-Harmonic 1-Forms on δ-Stable Hypersurface in Space Form with Nonnegative Bi-Ricci Curvature

Lp p-Harmonic 1-Forms on δ-Stable Hypersurface in Space Form with Nonnegative Bi-Ricci Curvature
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具有非负 Bi-Ricci 曲率的空间形式 δ 稳定超曲面上的 Lp p-谐波 1-形式

DOI:
10.4236/apm.2021.115029
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发表时间:
2021-05
期刊:
Advances in Pure Mathematics
影响因子:
--
通讯作者:
Jiancheng Liu
Jiancheng Liu
中科院分区:
其他
文献类型:
--
作者:
Bakry Musa;Jiancheng Liu

文献摘要

相似文献

本文研究了完备非紧可定向δ-稳定超曲面Mm上的Lp p-调和1-形式空间,该超曲面浸入具有非负BiRic曲率的空间形式中.证明了Mm.Moreov上Lp p-调和1-形式的不存在性
In this paper, we investigate the space of Lp p-harmonic 1-forms on a complete noncompact orientable δ-stable hypersurface Mm that is immersed in space form with nonnegative BiRic curvature. We prove the nonexistence of Lp p-harmonic 1-forms on Mm. Moreov