Nearly Kahler and Hermitian f-Structures on Homogeneous k-Symmetric Spaces

The base canonical f-structures on naturally reductive k-symmetric spaces which are nearly Kähler f-structures have been reported. Those base f-structures which are also Hermitian f-structures and give a criterion for the remaining base structures to be Hermitian. Some of the most important classes of metric f-structures have also been specified. Using the general formula for canonical f-structures, one can write formulas for all canonical f-structures in the case of homogeneous spaces of order 6.