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Unit Killing Vector Fields on Nearly Kahler Manifolds

Andrei Moroianu·Paul-Andi Nagy·Uwe Semmelmann
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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 $S^3 \times S^3$.

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Andrei Moroianu, Paul-Andi Nagy, Uwe Semmelmann. 2004-06-24. Unit Killing Vector Fields on Nearly Kahler Manifolds. https://doi.org/10.1142/s0129167x05002874

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