\(L^{p}\) \(p\)-harmonic 1-forms on locally conformally flat Riemannian manifolds (Q1689859)
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scientific article; zbMATH DE number 6827101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{p}\) \(p\)-harmonic 1-forms on locally conformally flat Riemannian manifolds |
scientific article; zbMATH DE number 6827101 |
Statements
\(L^{p}\) \(p\)-harmonic 1-forms on locally conformally flat Riemannian manifolds (English)
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18 January 2018
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The authors study 1-forms, on a locally conformally flat Riemannian manifold \(M\), which are \(p\)-harmonic. Several vanishing and finiteness theorems are obtained for the space of \(L^p\) \(p\)-harmonic 1-forms on \(M\), imposing some pinching conditions for the scalar curvature and traceless Ricci tensor, or assuming that the first eigenvalue of the Laplace-Beltrami operator on \(M\) is bounded by a suitable constant.
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\(p\)-harmonic 1-form
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locally conformally flat
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