Homogeneous Riemannian spaces of negative curvature
Sbornik. Mathematics, Tome 25 (1975) no. 1, pp. 87-109
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In this paper the structure of simply-transitive isometry groups of a Riemannian space with nonpositive curvature is studied. The results obtained are then applied to classify Riemannian spaces of negative curvature possessing a metabelian transitive isometry group and also to classify homogeneous Einstein spaces with nonpositive curvature and with dimension $m\leqslant5$.
Bibliography: 13 titles.
@article{SM_1975_25_1_a5,
author = {D. V. Alekseevskii},
title = {Homogeneous {Riemannian} spaces of negative curvature},
journal = {Sbornik. Mathematics},
pages = {87--109},
publisher = {mathdoc},
volume = {25},
number = {1},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1975_25_1_a5/}
}
D. V. Alekseevskii. Homogeneous Riemannian spaces of negative curvature. Sbornik. Mathematics, Tome 25 (1975) no. 1, pp. 87-109. http://geodesic.mathdoc.fr/item/SM_1975_25_1_a5/