Remarks on symplectic twistor spaces |
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Authors: | Rui Albuquerque |
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Institution: | 1.Departamento de Matemática da Universidade de évora, Centro de Investiga??o em Matemática e Aplica??es da Universidade de évora (CIMA-UE),évora,Portugal |
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Abstract: | We consider some classical fibre bundles furnished with almost complex structures of twistor type, deduce their integrability
in some cases and study self-holomorphic sections of the general twistor space, with which we define a new moduli space of complex structures. We also recall the
theory of flag manifolds to study the Siegel domain and other domains alike, which are the fibres of various symplectic twistor
spaces. We prove that they are all Stein. In the context of a Riemann surface, with its canonical symplectic-metric connection
and local structure equations, the moduli space is studied again. |
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Keywords: | Linear connections Twistor bundle Moduli space |
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