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Border Reduction in Existence Problems of Harmonic Forms
Published online by Cambridge University Press: 22 January 2016
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Given an arbitrary Riemannian n-space V let σ be a harmonic field in the complement V-V0 of a regular region V0. The problem of constructing in v a harmonic field ρ with the property was given a complete solution in [2]. The corresponding problem for harmonic forms σ, ρ remains open iri the general case. In the special case of locally flat spaces the construction can be carried out by replacing by the point norm [3].
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1967
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