Geodesic
K\"ahler and sublagrangian submanifolds
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 84 (2023), pp. 23-35

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The work describes a way to obtain Kähler and sublagrangian submanifolds in real manifolds of arbitrary dimension. For this purpose, the concept of subtwistor and sub-Kähler structure is used. They generalize the classic concepts of twistor and Kähler structures to real manifolds of any dimension with a degenerate fundamental 2-form. The explicit examples of such submanifolds are presented. It is also shown how the subtwistor structure on the manifold allows one to factorize locally this manifold into direct products of submanifolds.
Keywords: subtwistor structure, sub-Kähler structure, Kähler submanifold, sublagrangian submanifold, degenerate 2-form. 
@article{VTGU_2023_84_a2,
     author = {E. S. Kornev},
     title = {K\"ahler and sublagrangian submanifolds},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {23--35},
     publisher = {mathdoc},
     number = {84},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_84_a2/}
}
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E. S. Kornev. K\"ahler and sublagrangian submanifolds. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 84 (2023), pp. 23-35. http://geodesic.mathdoc.fr/item/VTGU_2023_84_a2/