On 3-symmetric Riemannian spaces of solvable type
Tralle, Aleksej
Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989), p. 803-810 / Harvested from Czech Digital Mathematics Library
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Publié le : 1989-01-01
Classification:  22E25,  53C25,  53C30,  53C35 
@article{106805,
     author = {Aleksej Tralle},
     title = {On 3-symmetric Riemannian spaces of solvable type},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {030},
     year = {1989},
     pages = {803-810},
     zbl = {0701.53068},
     mrnumber = {1045913},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106805}
}

Tralle, Aleksej. On 3-symmetric Riemannian spaces of solvable type. Commentationes Mathematicae Universitatis Carolinae, Tome 030 (1989) pp. 803-810. http://gdmltest.u-ga.fr/item/106805/

R. Azencott E. Wilson Homogeneous manifolds with negative curvature, Part 2, Mem. Amer. Math. Soc. 8 (1976), n. 178. (1976) | MR 0426002

M. Božek Existence of generalized symmetric Riemannian spaces with solvable isometry group, Čas. pěst. mat. 105 (1980), 368-384. (1980) | MR 0597914

N. Bourbaki Groupes ei alge'bres de Lie, Chap. 1-3, Hermann, Paris 1972. (1972) | MR 0573068

V. Gorbačevič A. Oniščik Lie groups of transformations, (Russian), Itogi nauki i techhiki 20 (1988), 103-240. (1988)

A. Gray Riemannian manifolds with geodesic symmetries of order 3, J. Diff. Geom. 7 (1972), 343-369. (1972) | MR 0331281 | Zbl 0275.53026

S. Helgason Differential geometry, Lie groups and symmetric spaces, Acad. Press, New York 1978. (1978) | MR 0514561 | Zbl 0451.53038

D. Hertzig The structure of Frobenius algebraic groups, Atner. J. Math. 3 (1961), 421-431. (1961) | MR 0137708 | Zbl 0117.27203

N. Jacobson A note on automorphisms and derivations of Lie algebras, Proc. Amer. Math. Soc. 8 (1955), 281-283. (1955) | MR 0068532 | Zbl 0064.27002

O. Kowalski Generalized symmetric spaces, LN in Mathematics, Vol. 805, Springer, Berlin 1980. (1980) | MR 0579184 | Zbl 0431.53042

V. Kreknin On the solvability of Lie algebras with a regular automorphism of a finite order, (Russian), DAN SSSR 150 (1963), 467-469. (1963) | MR 0157990

V. Platonov Algebraic groups with almost regular automorphism, (Russian), lev. AN SSSR 31 (1967), 687-696. (1967) | MR 0217078

A. Tralle One new existence theorem for the generalized symmetric spaces of solvable type, Ann. Glob. Anal. and Geom. 8 (1990) (to appear). (1990) | MR 1088508 | Zbl 0666.53028

E. Vinberg A. Oniščik Seminar on Lie groups and algebraic groups, (Russian).

E. Wilson Isometry groups on homogeneous nilmanifolds, Geom. Dedic. 12 (1982), 337-346. (1982) | MR 0661539 | Zbl 0489.53045