Abstract
In this paper, we prove the nonexistence of $L^{2p}_{f}$-harmonic $1$-forms on a complete noncompact $f$-minimal hypersurface in a weighted manifold with nonpositive sectional curvature. This results can be viewed as an extension of Yun and Seo's results on $L^{2}_{f}$-harmonic $1$-forms.
Citation
Rong Mi. "$L^{2p}_{f}$-harmonic $1$-forms on $f$-minimal hypersurfaces in a weighted manifold." Bull. Belg. Math. Soc. Simon Stevin 27 (4) 489 - 497, november 2020. https://doi.org/10.36045/j.bbms.190405b
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