Unit Killing Vector Fields on Nearly Kahler Manifolds

Details Unit Killing Vector Fields on Nearly Kahler Manifolds Unit Killing Vector Fields on Nearly Kahler Manifolds

2004-06-24

arxiv.org/abs/math/0406492v1

International Journal of Mathematics 16 (2005), 281-301

Mathematics

Differential Geometry

Scientific paper

10.1142/S0129167X05002874

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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