UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS-Reference-Cited by-同舟云学术

UNIT KILLING VECTOR FIELDS ON NEARLY KÄHLER MANIFOLDS

Published:2005-03 Issue:03 Volume:16 Page:281-301
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

MOROIANU ANDREI¹,NAGY PAUL-ANDI²,SEMMELMANN UWE³

Affiliation:

1. CMAT, École Polytechnique, UMR 7640 du CNRS, 91128 Palaiseau, France

2. Institut Für Mathematik, Humboldt Universität zu Berlin, Sitz: Rudower Chaussee 25, D-12489, Berlin, Germany

3. Fachbereich Mathematik, Universität Hamburg, Bundesstr. 55, D-20146 Hamburg, Germany

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X05002874

Reference14 articles.

1. A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES

2. Compact 3-Sasakian 7-manifolds with arbitrary second Betti number

3. The structure of nearly K�hler manifolds

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