Geodesic
Almost Kählerian manifolds of hyperbolic type
Izvestiya. Mathematics , Tome 67 (2003) no. 4, pp. 655-694

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We study the geometry of completely real submanifolds of almost Kählerian manifolds of hyperbolic type. The main aim is the study of the geometry of the manifold of non-degenerate null pairs of the real projective space. We obtain a complete classification of its totally geodesic Lagrangian submanifolds and describe their construction. 
@article{IM2_2003_67_4_a1,
     author = {V. F. Kirichenko and V. V. Konnov},
     title = {Almost {K\"ahlerian} manifolds of hyperbolic type},
     journal = {Izvestiya. Mathematics },
     pages = {655--694},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_4_a1/}
}
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V. F. Kirichenko; V. V. Konnov. Almost Kählerian manifolds of hyperbolic type. Izvestiya. Mathematics , Tome 67 (2003) no. 4, pp. 655-694. http://geodesic.mathdoc.fr/item/IM2_2003_67_4_a1/