Rescaling of the metric, invariant operators, and spontaneous compactification
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 88-96
Voir la notice de l'article provenant de la source Math-Net.Ru
A criterion for enlargement of the symmetry of a $G$-invariant metric
on $G/H$ to the symmetry of a $G'$-invariant metric on $G'/H'$ is formulated
and proved. The complete set of vacuum solutions of $d=11$ supergravity
on $S^7$ and the spectrum of the Laplace–Beltrami operator for each of the
solutions are obtained. The degeneracy of the spectrum of the invariant
operators resulting from rescaling with symmetry enlargement is investigated.
@article{TMF_1988_77_1_a7,
author = {D. V. Vassilevich and V. D. Lyakhovsky and N. N. Shtykov},
title = {Rescaling of the metric, invariant operators, and spontaneous compactification},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {88--96},
publisher = {mathdoc},
volume = {77},
number = {1},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a7/}
}
TY - JOUR AU - D. V. Vassilevich AU - V. D. Lyakhovsky AU - N. N. Shtykov TI - Rescaling of the metric, invariant operators, and spontaneous compactification JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 88 EP - 96 VL - 77 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a7/ LA - ru ID - TMF_1988_77_1_a7 ER -
%0 Journal Article %A D. V. Vassilevich %A V. D. Lyakhovsky %A N. N. Shtykov %T Rescaling of the metric, invariant operators, and spontaneous compactification %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 88-96 %V 77 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a7/ %G ru %F TMF_1988_77_1_a7
D. V. Vassilevich; V. D. Lyakhovsky; N. N. Shtykov. Rescaling of the metric, invariant operators, and spontaneous compactification. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 88-96. http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a7/