The differential geometry of almost Hermitian almost contact metric submersions.
Tshikuna-Matamba, T. (2004)
International Journal of Mathematics and Mathematical Sciences
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The differential geometry of almost Hermitian almost contact metric submersions.
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In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer , the covariant derivatives of the curvature tensor up to order and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.
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