On the geometry of harmonic morphisms

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

Let π:M→B be a horizontally conformal submersion. We give necessary curvature conditions on the manifolds M and B, which lead to non-existence results for certain horizontally conformal maps, and harmonic morphisms. We then classify all such maps between open subsets of Euclidean spaces, which additionally have totally geodesic fibres and are horizontally homothetic. They are orthogonal projections on each connected component, followed by a homothety.

Detaljer

Författare
Enheter & grupper
Externa organisationer
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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)461-466
TidskriftMathematical Proceedings of the Cambridge Philosophical Society
Volym108
Utgåva nummer3
StatusPublished - 1990
PublikationskategoriForskning
Peer review utfördJa