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

Paul Baird (1990)

Annales de l'institut Fourier

Harmonic morphisms are considered as a natural generalization of the analytic functions of Riemann surface theory. It is shown that any closed analytic 3-manifold supporting a non-constant harmonic morphism into a Riemann surface must be a Seifert fibre space. Harmonic morphisms $ϕ : M \to N$ from a closed 4-manifold to a 3-manifold are studied. These determine a locally smooth circle action on $M$ with possible fixed points. This restricts the topology of $M$ . In all cases, a harmonic morphism $ϕ : M \to N$ from a closed...

Displaying 1 – 12 of 12

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

h-cobordisms between 1-connected 4-manifolds.

Higher order intersection numbers of 2-spheres in 4-manifolds.

HKR-type invariants of 4-thickenings of 2-dimensional CW complexes.

Homeomorphic non-diffeomorphic surfaces with samll invariants.

Homogeneous Connections and Moduli Spaces.

Homologie associée à une fonctionnelle

Homology Hopf surfaces

Homotopy $K 3$ 's with several symplectic structures.

Hyperbolic 4-manifolds and conformally flat 3-manifolds

Hyperbolic 4-manifolds and tesselations

Hyperbolic structure on a complement of tori in the 4-sphere.

Currently displaying 1 – 12 of 12