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2008 Espaces twistoriels et structures complexes non standards
Guillaume Deschamps
Publ. Mat. 52(2): 435-457 (2008).


In this article we use the twistor theory in order to build ``non standard'' complex structures (with a meaning which we define) on the products of $4$-manifolds with the sphere of dimension two. To that end, we enumerate the set of complex surfaces whose twistor space is $\mathcal C^\infty$-trivial. Among these surface we will study those which admit an anti-self-dual riemannian metric.


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Guillaume Deschamps. "Espaces twistoriels et structures complexes non standards." Publ. Mat. 52 (2) 435 - 457, 2008.


Published: 2008
First available in Project Euclid: 5 August 2008

zbMATH: 1202.53050
MathSciNet: MR2436733

Primary: 51M99 , 53C27 , 53C28

Keywords: almost hypercomplex manifold , Enriques-Kodaira classification , parallelisable complex surface , self-dual metric , spin structure , twistor space

Rights: Copyright © 2008 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.52 • No. 2 • 2008
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