Seminários de Geometria

16 de Maio 2008, 14h30

Harmonic Morphisms and Twistor Spaces
Sala B3-01

Bruno Simões (CMAF)

Abstract:

Harmonic maps between Riemannian manifolds extremize a certain natural energy functional generalizing the Dirichlet integral to the setting of Riemannian manifolds. Harmonic morphisms are maps between Riemannian manifolds which pull back local harmonic functions to local harmonic functions. Geometrically, harmonic morphisms are characterized as harmonic maps which satisfy an additional conformality condition. We will describe the use of twistor methods on the construction of harmonic maps and harmonic morphisms.

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