Article citationsMore>>

Nguyen, T.D. and Keomkyo, S. (2015) Vanishing Theorem for L² Harmonic 1-Forms on Complete Submanifolds in a Riemannian Manifold. Journal of Mathematical Analysis and Applications, 423, 1594-1609.
https://doi.org/10.1016/j.jmaa.2014.10.076

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.