Displaying similar documents to “On weakly harmonic maps and Noether harmonic maps from a Riemann surface into a Riemannian manifold”

Harmonic morphisms and non-linear potential theory

Ilpo Laine (1992)

Banach Center Publications

Similarity:

Originally, harmonic morphisms were defined as continuous mappings φ:X → X' between harmonic spaces such that h'∘φ remains harmonic whenever h' is harmonic, see [1], p. 20. In general linear axiomatic potential theory, one has to replace harmonic functions h' by hyperharmonic functions u' in this definition, in order to obtain an interesting class of mappings, see [3], Remark 2.3. The modified definition appears to be equivalent with the original one, provided X' is a Bauer space, i.e.,...