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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 499
Invariant nearly Kaehler f-structures on homogeneous spaces Vitaly V. Balashchenko
We introduce a concept of nearly Kaehler f-structures naturally generalizing well-known nearly Kaehler structures in Hermitian geometry. A remarkable collection of invariant structures of such a kind is presented. It is based on the canonical f-structures on homogeneous $Phi$-spaces, i.e. homogeneous spaces defined by Lie group automorphisms. As a result, the analogy with homogeneous nearly Kaehler manifolds is obtained. Some general and particular examples including the 6-dimensional generalized Heisenberg group are considered in more detail.
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