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Unit Killing Vector Fields on Nearly Kahler Manifolds

Andrei Moroianu, Paul-Andi Nagy, Uwe Semmelmann

math.DGarXiv:math/0406492

Abstract

We study 6-dimensional nearly Kahler 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.

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