Harmonic morphisms as sphere bundles over compact Riemann surfaces

• We prove that the projection map of an orientable sphere bundle, over a compact Riemann surface, of any homotopy type can be realized as a harmonic morphism with totally geodesic fibres.

Ämnesord

NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)

Nyckelord

topological sphere bundles

harmonic maps

harmonic morphisms

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art (ämneskategori)

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