Abstract
In this paper, we will prove vanishing and finiteness theorems for \(L^2\)-harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrodinger operators involving the squared norm of the traceless Ricci form. From these theorems and the work of Li–Tam, we can obtain some one-end and finite ends results for the locally conformally flat Riemannian manifold.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
