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Compatible Complex Structures on Twistor Spaces
- Publication Year :
- 2009
- Publisher :
- HAL CCSD, 2009.
-
Abstract
- Let (M,g) be a Riemannian 4-manifold. The twistor space Z->M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of complex structures on (Z,h) which are compatible with the CP1-fibration and the metric h. The results obtained enable us to translate some metric properties on M in terms of complex properties on its twistor space Z.<br />23 pages
- Subjects :
- Mathematics - Differential Geometry
Differential Geometry (math.DG)
Mathematics - Complex Variables
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
FOS: Mathematics
[MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV]
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
Mathematics::Differential Geometry
Complex Variables (math.CV)
[MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....042322dbf67b5561ea847dc04f911120