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@article{MT_2011_14_1_a1, author = {O. P. Gladunova and V. V. Slavskii}, title = {Harmonicity of the {Weyl} tensor of left-invariant {Riemannian} metrics on four-dimensional unimodular {Lie} groups}, journal = {Matemati\v{c}eskie trudy}, pages = {50--69}, publisher = {mathdoc}, volume = {14}, number = {1}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MT_2011_14_1_a1/} }
TY - JOUR AU - O. P. Gladunova AU - V. V. Slavskii TI - Harmonicity of the Weyl tensor of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups JO - Matematičeskie trudy PY - 2011 SP - 50 EP - 69 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MT_2011_14_1_a1/ LA - ru ID - MT_2011_14_1_a1 ER -
%0 Journal Article %A O. P. Gladunova %A V. V. Slavskii %T Harmonicity of the Weyl tensor of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups %J Matematičeskie trudy %D 2011 %P 50-69 %V 14 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MT_2011_14_1_a1/ %G ru %F MT_2011_14_1_a1
O. P. Gladunova; V. V. Slavskii. Harmonicity of the Weyl tensor of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups. Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 50-69. http://geodesic.mathdoc.fr/item/MT_2011_14_1_a1/
[1] Alekseevskii D. V., “Odnorodnye rimanovy prostranstva otritsatelnoi krivizny”, Matem. sb., 96(138):1 (1975), 93–117 | MR | Zbl
[2] Besse A. L., Mnogoobraziya Einshteina, Mir, M., 1990 | MR | Zbl
[3] Burbaki N., Gruppy i algebry Li. Algebry Li, svobodnye algebry Li i gruppy Li, Mir, M., 1976 | MR
[4] Gladunova O. P., Rodionov E. D., Slavskii V. V., “O garmonicheskikh tenzorakh na trekhmernykh gruppakh Li s levoinvariantnoi rimanovoi metrikoi”, Dokl. RAN, 419:6 (2008), 735–738 | MR | Zbl
[5] Kartan E., Rimanova geometriya v ortogonalnom repere, Izd-vo MGU, M., 1960
[6] Kremlev A. G., Nikonorov Yu. G., “Signatura krivizny Richchi levoinvariantnykh rimanovykh metrik na chetyrekhmernykh gruppakh Li. Unimodulyarnyi sluchai”, Matem. tr., 11:2 (2008), 115–147 | MR
[7] Mubarakzyanov G. M., “O razreshimykh algebrakh Li”, Izv. vuzov. Matematika, 1963, no. 1(32), 114–123 | MR | Zbl
[8] Listing M., “Conformal Einstein spaces in $N$-dimensions”, Ann. Global Anal. Geom., 20:2 (2001), 183–197 | DOI | MR | Zbl
[9] Milnor J., “Curvatures of left-invariant metrics on Lie groups”, Advances in Math., 21:3 (1976), 293–329 | DOI | MR | Zbl
[10] Yano K., Differential Geometry on Complex and Almost Complex Spaces, International Series of Monographs in Pure and Applied Mathematics, 49, Pergamon Press, New York, 1965 | MR