Geodesic
On the cylindricity of complete strong parabolic Kahler submanifolds in complex Hermitian space
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995), pp. 284-295.

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A complete $l$-dimensional Kahler surface $F^l$ in the Hermitian space of a positive real-valued extrinsic nullity index is considered. It is proved that $F^l$ is a complex cylinder under certain conditions for a set of asymptotic directions. 
@article{JMAG_1995_2_a1,
     author = {A. A. Borisenko and S. A. Ostroumov},
     title = {On the cylindricity of complete strong parabolic {Kahler} submanifolds in complex {Hermitian} space},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {284--295},
     publisher = {mathdoc},
     volume = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_a1/}
}
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A. A. Borisenko; S. A. Ostroumov. On the cylindricity of complete strong parabolic Kahler submanifolds in complex Hermitian space. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995), pp. 284-295. http://geodesic.mathdoc.fr/item/JMAG_1995_2_a1/