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- W2040658165 abstract "Dans cette Note, nous introduisons des notions de géométrie hermitienne pour construire des morphismes harmoniques à valeurs dans une surface. Nous obtenons ainsi que la classe conforme standard de S4 contient une famille de métriques {gk,ℓ} paramétrée par des couples d'entiers positifs non nuls (k,ℓ) telle que pour chaque couple, il existe un morphisme harmonique non-constant de (S4,gk,ℓ) dans la sphère de Riemann S2. In this paper, we introduce notions of Hermitian geometry to construct harmonic morphisms to surfaces. As an application, we prove that the standard conformal class of S4 contains a family of metrics {gk,ℓ} parametrized by pairs of positive non-zero integers (k,ℓ) such that, to each pair, we can associate a harmonic morphism from (S4,gk,ℓ) to the Riemann sphere S2." @default.
- W2040658165 created "2016-06-24" @default.
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- W2040658165 date "2001-03-01" @default.
- W2040658165 modified "2023-10-17" @default.
- W2040658165 title "Applications et morphismes harmoniques à valeurs dans une surface" @default.
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- W2040658165 doi "https://doi.org/10.1016/s0764-4442(01)01842-0" @default.
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