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Unit Killing Vector Fields on Nearly Kähler Manifolds

Unit Killing Vector Fields on Nearly Kähler Manifolds

Authors :
Paul-Andi Nagy
Andrei Moroianu
Uwe Semmelmann
Centre de Mathématiques Laurent Schwartz (CMLS)
École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Institut für Mathematik [Berlin]
Technische Universität Berlin (TU)
Fachbereich Mathematik (FBM)
Universität Hamburg (UHH)
Source :
International Journal of Mathematics, International Journal of Mathematics, World Scientific Publishing, 2005, 16, pp.281-301. ⟨10.1142/S0129167X05002874⟩, International Journal of Mathematics, World Scientific Publishing, 2005, 16, pp. 281-301
Publication Year :
2005
Publisher :
HAL CCSD, 2005.

Abstract

We study 6-dimensional nearly Kähler manifolds admitting a Killing vector field of unit length. In the compact case, it is shown that up to a finite cover there is only one geometry possible, that of the 3-symmetric space S3 × S3.

Details

Language :
English
ISSN :
0129167X and 17936519
Database :
OpenAIRE
Journal :
International Journal of Mathematics, International Journal of Mathematics, World Scientific Publishing, 2005, 16, pp.281-301. ⟨10.1142/S0129167X05002874⟩, International Journal of Mathematics, World Scientific Publishing, 2005, 16, pp. 281-301
Accession number :
edsair.doi.dedup.....e6d4adec45cf27a82a9c57095fe2f668
Full Text :
https://doi.org/10.1142/S0129167X05002874⟩