Twistor Spaces with Meromorphic Functions
Copyright policy )Twistor Spaces with Meromorphic Functions
Among the class of Kähler surfaces with zero scalar curvature, only the twistor space of those surfaces which are also Ricci-flat can admit nonconstant meromorphic functions. Moreover, the transcendental degree of the function field of the twistor space over such surfaces is equal to one. This result leads to a classification of twistor spaces with positive algebraic dimensions.
twistor spaces, self-dual manifolds, Twistor theory, double fibrations (complex-analytic aspects), Meromorphic functions of several complex variables, meromorphic function, Global differential geometry of Hermitian and Kählerian manifolds, zero scalar curvature, Kähler surfaces
twistor spaces, self-dual manifolds, Twistor theory, double fibrations (complex-analytic aspects), Meromorphic functions of several complex variables, meromorphic function, Global differential geometry of Hermitian and Kählerian manifolds, zero scalar curvature, Kähler surfaces
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!