Geodesic
Quasihomogeneous manifolds and generalized almost-Hermitian structures
Izvestiya. Mathematics , Tome 23 (1984) no. 3, pp. 473-486

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The author considers new classes of differential-geometric structures on smooth manifolds that generalize almost-Hermitian and almost-contact $f$-structures and others, and establishes the local structure of generalized homogeneous manifolds that carry such a structure. Bibliography: 24 titles. 
@article{IM2_1984_23_3_a3,
     author = {V. F. Kirichenko},
     title = {Quasihomogeneous manifolds and generalized {almost-Hermitian} structures},
     journal = {Izvestiya. Mathematics },
     pages = {473--486},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1984_23_3_a3/}
}
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V. F. Kirichenko. Quasihomogeneous manifolds and generalized almost-Hermitian structures. Izvestiya. Mathematics , Tome 23 (1984) no. 3, pp. 473-486. http://geodesic.mathdoc.fr/item/IM2_1984_23_3_a3/