Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
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Publication:1089967
DOI10.1007/BF01450078zbMath0621.58011MaRDI QIDQ1089967
Publication date: 1988
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164386
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Probabilistic potential theory (60J45) Harmonic maps, etc. (58E20) Foliations in differential topology; geometric theory (57R30)
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Cites Work
- Harmonic morphisms onto Riemann surfaces and generalized analytic functions
- A mapping of Riemannian manifolds which preserves harmonic functions
- Harmonic morphisms between Riemannian manifolds
- Brownian motions and generalized analytic and inner functions
- The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
- The geometry of the generalized Gauss map
- The Tension Field of the Gauss Map
- Harmonic Mappings of Riemannian Manifolds
- Conformal foliations
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