| Title:
|
On 3-symmetric Riemannian spaces of solvable type (English) |
| Author:
|
Tralle, Aleksej |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
803-810 |
| . |
| Category:
|
math |
| . |
| MSC:
|
22E25 |
| MSC:
|
53C25 |
| MSC:
|
53C30 |
| MSC:
|
53C35 |
| idZBL:
|
Zbl 0701.53068 |
| idMR:
|
MR1045913 |
| . |
| Date available:
|
2008-06-05T21:41:24Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106805 |
| . |
| Reference:
|
[1] R. Azencott E. Wilson: Homogeneous manifolds with negative curvature.Part 2, Mem. Amer. Math. Soc. 8 (1976), n. 178. MR 0426002 |
| Reference:
|
[2] M. Božek: Existence of generalized symmetric Riemannian spaces with solvable isometry group.Čas. pěst. mat. 105 (1980), 368-384. MR 0597914 |
| Reference:
|
[3] N. Bourbaki: Groupes ei alge'bres de Lie.Chap. 1-3, Hermann, Paris 1972. MR 0573068 |
| Reference:
|
[4] V. Gorbačevič A. Oniščik: Lie groups of transformations.(Russian), Itogi nauki i techhiki 20 (1988), 103-240. |
| Reference:
|
[5] A. Gray: Riemannian manifolds with geodesic symmetries of order 3.J. Diff. Geom. 7 (1972), 343-369. Zbl 0275.53026, MR 0331281 |
| Reference:
|
[6] S. Helgason: Differential geometry.Lie groups and symmetric spaces, Acad. Press, New York 1978. Zbl 0451.53038, MR 0514561 |
| Reference:
|
[7] D. Hertzig: The structure of Frobenius algebraic groups.Atner. J. Math. 3 (1961), 421-431. Zbl 0117.27203, MR 0137708 |
| Reference:
|
[8] N. Jacobson: A note on automorphisms and derivations of Lie algebras.Proc. Amer. Math. Soc. 8 (1955), 281-283. Zbl 0064.27002, MR 0068532 |
| Reference:
|
[9] O. Kowalski: Generalized symmetric spaces.LN in Mathematics, Vol. 805, Springer, Berlin 1980. Zbl 0431.53042, MR 0579184 |
| Reference:
|
[10] V. Kreknin: On the solvability of Lie algebras with a regular automorphism of a finite order.(Russian), DAN SSSR 150 (1963), 467-469. MR 0157990 |
| Reference:
|
[11] V. Platonov: Algebraic groups with almost regular automorphism.(Russian), lev. AN SSSR 31 (1967), 687-696. MR 0217078 |
| Reference:
|
[12] A. Tralle: One new existence theorem for the generalized symmetric spaces of solvable type.Ann. Glob. Anal. and Geom. 8 (1990) (to appear). Zbl 0666.53028, MR 1088508 |
| Reference:
|
[13] E. Vinberg A. Oniščik: Seminar on Lie groups and algebraic groups.(Russian). |
| Reference:
|
[14] E. Wilson: Isometry groups on homogeneous nilmanifolds.Geom. Dedic. 12 (1982), 337-346. Zbl 0489.53045, MR 0661539 |
| . |
