Harmonic morphisms and circle actions on 3- and 4-manifolds

DOI10.5802/aif.1210zbMath0676.58023OpenAlexW1996586446MaRDI QIDQ1122842

Paul Baird

Publication date: 1990

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_1_177_0

zbMATH Keywords

Harmonic morphismsanalytic 3- manifoldgeneralization of the analytic functions

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items

Harmonic morphisms from complex projective spaces, Bernstein theorem for harmonic morphisms from \((N+1)\)-sphere to \(N\)-manifold, THE STRUCTURE OF HARMONIC MORPHISMS WITH TOTALLY GEODESIC FIBRES, Riemannian twistors and Hermitian structures on low-dimensional space forms, A transformation of a Feynman–Kac formula for holomorphic families of type B, A note on the classification of holomorphic harmonic morphisms, HARMONIC MORPHISMS WITH ONE-DIMENSIONAL FIBRES, Polynomial Harmonic Morphisms between Euclidean Spheres, A Böchner technique for harmonic mappings from a 3-manifold to a surface, Harmonic polynomial morphisms between Euclidean spaces, Harmonic morphisms with one-dimensional fibres on Einstein manifolds

Cites Work

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• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• Harmonic morphisms onto Riemann surfaces and generalized analytic functions
• Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
• A mapping of Riemannian manifolds which preserves harmonic functions
• Harmonic morphisms between Riemannian manifolds
• Brownian motions and generalized analytic and inner functions
• Non-linear circle actions on the 4-sphere and twisting spun knots
• Microbundles
• Periodic flows on three-manifolds
• The geometry of the generalized Gauss map
• Pointwise Periodic Homeomorphisms
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Harmonic Mappings of Spheres
• Classification of Circle Actions on 4-Manifolds
• A Report on Harmonic Maps
• HARMONIC MAPS BETWEEN SPHERES AND ELLIPSOIDS
• Quadratic forms between spheres and the non-existence of sums of squares formulae
• Harmonic Maps from Deformed Spheres to Spheres
• The Geometries of 3-Manifolds
• Compactifications of Harmonic Spaces
• Singular Points of Complex Hypersurfaces. (AM-61)
• Harmonic Mappings of Riemannian Manifolds
• Foliations with all leaves compact
• Conformal foliations