L p $L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds

Abstract In this paper, we establish a finiteness theorem for L p $L^{p}$ harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can be regarded as a generalization of H...

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Bibliographic Details
Main Authors: Jing Li, Shuxiang Feng, Peibiao Zhao
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02616-9