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Zhu, P. and Fang, S.W. (2014) A Gap Theorem on Submanifolds with Finite Total Curvature in Spheres. Journal of Mathematical Analysis and Applications, 413, 195-201.
https://doi.org/10.1016/j.jmaa.2013.11.064

has been cited by the following article:

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

  AUTHORS: Bakry Musa, Jiancheng Liu

  KEYWORDS: Lp p-Harmonic 1-Forms, δ-Stable Hypersurface, BiRic Curvature, Space Form

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.5, May 24, 2021

  ABSTRACT: 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. Moreover, we obtain some vanishing properties for this class of harmonic 1-forms.