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.

Voir la notice de l'article provenant de la source Math-Net.Ru

@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