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Espaces twistoriels et structures complexes non standards
- Source :
- Publicacions Matemàtiques; Vol. 52, Núm. 2 (2008); p. 435-457, Recercat. Dipósit de la Recerca de Catalunya, instname, Publ. Mat. 52, no. 2 (2008), 435-457, Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
- Publication Year :
- 2006
- Publisher :
- HAL CCSD, 2006.
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Abstract
- In this paper we use the twistor theory in order to build non standard complex structures (with a meaning which we define) on products of 4-manifolds with the sphere of dimension two. To that end, we enumerate the set of complex surfaces whose twistor space is topologically trivial. Among these surfaces, we determine those which admit a spin structure or an anti-selfdual riemannian metric.
- Subjects :
- Pure mathematics
métrique anti-autoduale
Spin structure
General Mathematics
structure spin
Fundamental theorem of Riemannian geometry
Twistor space
01 natural sciences
parallelisable complex surface
Twistor theory
High Energy Physics::Theory
self-dual metric
almost hypercomplex manifold
Almost hypercomplex manifold
classification de Kodaira
0103 physical sciences
51M99
Hermitian manifold
0101 mathematics
Mathematics
Enriques-Kodaira classification
010102 general mathematics
Mathematical analysis
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
Surface (topology)
Fubini–Study metric
spin structure
Self-dual metric
53C27
53C28
[MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV]
010307 mathematical physics
Enriques–Kodaira classification
Mathematics::Differential Geometry
Parallelisable complex surface
Espace twistoriel
Fisher information metric
Subjects
Details
- Language :
- French
- Database :
- OpenAIRE
- Journal :
- Publicacions Matemàtiques; Vol. 52, Núm. 2 (2008); p. 435-457, Recercat. Dipósit de la Recerca de Catalunya, instname, Publ. Mat. 52, no. 2 (2008), 435-457, Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
- Accession number :
- edsair.doi.dedup.....70d0acfb436163bbac9500e578bb9092