$$L^p$$ harmonic 1-forms on totally real submanifolds in a complex projective space

Choi, Hagyun; Seo, Keomkyo

doi:10.1007/s10455-020-09705-w

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2021

2022

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Cited by 3 publications

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“…For L p harmonic 1-forms, Han et al [18] obtained some vanishing and finiteness theorems for L p p-harmonic 1-forms on a locally conformally flat Riemannian manifold with some assumptions. Analogously, there is substantial research indicating that the topologies of the submanifolds is closely associated with L p harmonic 1-forms; see [4,7,8,15,17,19,22] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

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

Feng

Zhao

2021

J Inequal Appl

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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 Han’s result on $L^{2}$ L 2 harmonic 1-forms.

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