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.

Subject headings

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

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

Keyword

topological sphere bundles

harmonic maps

harmonic morphisms

Publication and Content Type

art (subject category)

ref (subject category)