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.