Compatible complex structures on twistor space
Copyright policy )Compatible complex structures on twistor space
Let M be a Riemannian 4-manifold. The associated twistor space is a bundle whose total space Z admits a natural metric. The aim of this article is to study properties of complex structures on Z which are compatible with the fibration and the metric. The results obtained enable us to translate some metric properties on M (scalar flat, scalar-flat Kähler...) in terms of complex properties of its twistor space Z .
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Mathematics - Differential Geometry, Twistor methods in differential geometry, Differential Geometry (math.DG), scalar-flat, Mathematics - Complex Variables, complex structure, FOS: Mathematics, Complex Variables (math.CV), twistor space
Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Mathematics - Differential Geometry, Twistor methods in differential geometry, Differential Geometry (math.DG), scalar-flat, Mathematics - Complex Variables, complex structure, FOS: Mathematics, Complex Variables (math.CV), twistor space
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