Generalized symmetric spaces, Yu.\,P.~Solovyov's formula, and the generalized Hermitian geometry
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 43-60
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We collect some basic results on canonical affinor structures of classical types on generalized symmetric spaces. Yu. P. Solovyov's stimulating influence on this topic during its first stage is illustrated. Using special canonical $f$-structures on homogeneous $k$-symmetric spaces, we also present a new collection of homogeneous Hermitian $f$-manifolds.
@article{FPM_2007_13_8_a2,
author = {V. V. Balashchenko},
title = {Generalized symmetric spaces, {Yu.\,P.~Solovyov's} formula, and the generalized {Hermitian} geometry},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {43--60},
publisher = {mathdoc},
volume = {13},
number = {8},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a2/}
}
TY - JOUR AU - V. V. Balashchenko TI - Generalized symmetric spaces, Yu.\,P.~Solovyov's formula, and the generalized Hermitian geometry JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2007 SP - 43 EP - 60 VL - 13 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a2/ LA - ru ID - FPM_2007_13_8_a2 ER -
%0 Journal Article %A V. V. Balashchenko %T Generalized symmetric spaces, Yu.\,P.~Solovyov's formula, and the generalized Hermitian geometry %J Fundamentalʹnaâ i prikladnaâ matematika %D 2007 %P 43-60 %V 13 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a2/ %G ru %F FPM_2007_13_8_a2
V. V. Balashchenko. Generalized symmetric spaces, Yu.\,P.~Solovyov's formula, and the generalized Hermitian geometry. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 43-60. http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a2/