Warped product in kählerian geometry
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 145-188
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A contruction for the kählerian manifolds similar to the warped product of the riemannian manifolds is proposed. The kählerian analog has the properties similar to the warped product: a complex inverse geodesication, a parametrization by one variable function with fixed factors, fibers of pair transverse foliates, a conformal totally geodesic one and a foliate of generic external quasispheres. The proposed kählerian $f$-continuation construction is the extension of the complex space form set.
@article{JMAG_1997_4_1_a9,
author = {S. I. Okrut},
title = {Warped product in k\"ahlerian geometry},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {145--188},
year = {1997},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a9/}
}
S. I. Okrut. Warped product in kählerian geometry. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 145-188. http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a9/