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Point norms in the
construction of harmonic forms
Leo Sario and Mitsuru Nakai |
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Vol. 25 (1968), No. 2, 325–329
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Abstract |
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Let V be an arbitrary Riemannian n-space, and V 1 a regular neighborhood of its ideal boundary. Given a harmonic field σ in V 1, necessary and sufficient conditions are known for the existence in V of a harmonic field ρ which imitates the behavior of σ in V 1 in the sense ∫ V 1(ρ − σ) ∧∗(ρ − σ) < ∞. In the present paper we give the solution of the corresponding problem for harmonic forms in locally flat spaces. |
Mathematical Subject Classification
Primary: 53.72
Secondary: 31.00
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Milestones
Received: 25 July 1966
Published: 1 May 1968
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Authors |
| Leo Sario | |
| Mitsuru Nakai | |
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