Rigid six-dimensional $h$-spaces of constant curvature
Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 3, pp. 347-354
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We consider the six-dimensional pseudo-Riemannian space $V^6(g_{ij})$ with the signature $[++----]$, which admits projective motions, i.e., continuous transformation groups preserving geodesics. We find necessary and sufficient conditions for the six-dimensional rigid $h$-spaces to have constant curvature.
Keywords:
differential geometry, pseudo-Riemannian manifold
Mots-clés : projective transformation.
Mots-clés : projective transformation.
@article{TMF_2009_158_3_a1,
author = {Z. Kh. Zakirova},
title = {Rigid six-dimensional $h$-spaces of constant curvature},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {347--354},
publisher = {mathdoc},
volume = {158},
number = {3},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_158_3_a1/}
}
Z. Kh. Zakirova. Rigid six-dimensional $h$-spaces of constant curvature. Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 3, pp. 347-354. http://geodesic.mathdoc.fr/item/TMF_2009_158_3_a1/