Geodesic
Functions pluriharmonic on a~maniford
Izvestiya. Mathematics , Tome 12 (1978) no. 3, pp. 439-447

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Let $u$ be a smooth function on a manifold $M$. In this paper necessary and sufficient conditions are obtained for $u$ to be the real part of a $CR$-function on $M$. These conditions comprise a system of linear differential equations in this function, whose order depends on the location of $M$ with respect to the complex structure. Bibliography: 8 titles. 
@article{IM2_1978_12_3_a0,
     author = {V. K. Beloshapka},
     title = {Functions pluriharmonic on a~maniford},
     journal = {Izvestiya. Mathematics },
     pages = {439--447},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1978_12_3_a0/}
}
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V. K. Beloshapka. Functions pluriharmonic on a~maniford. Izvestiya. Mathematics , Tome 12 (1978) no. 3, pp. 439-447. http://geodesic.mathdoc.fr/item/IM2_1978_12_3_a0/