On 3-symmetric Riemannian spaces of solvable type

Aleksej Tralle

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 803-810
  • ISSN: 0010-2628

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Tralle, Aleksej. "On 3-symmetric Riemannian spaces of solvable type." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 803-810. <http://eudml.org/doc/17796>.

@article{Tralle1989,
author = {Tralle, Aleksej},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {3-symmetric Riemannian spaces; isometry group; nilpotent Lie groups},
language = {eng},
number = {4},
pages = {803-810},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On 3-symmetric Riemannian spaces of solvable type},
url = {http://eudml.org/doc/17796},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Tralle, Aleksej
TI - On 3-symmetric Riemannian spaces of solvable type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 803
EP - 810
LA - eng
KW - 3-symmetric Riemannian spaces; isometry group; nilpotent Lie groups
UR - http://eudml.org/doc/17796
ER -

References

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  1. R. Azencott E. Wilson, Homogeneous manifolds with negative curvature, Part 2, Mem. Amer. Math. Soc. 8 (1976), n. 178. (1976) MR0426002
  2. M. Božek, Existence of generalized symmetric Riemannian spaces with solvable isometry group, Čas. pěst. mat. 105 (1980), 368-384. (1980) MR0597914
  3. N. Bourbaki, Groupes ei alge'bres de Lie, Chap. 1-3, Hermann, Paris 1972. (1972) MR0573068
  4. V. Gorbačevič A. Oniščik, Lie groups of transformations, (Russian), Itogi nauki i techhiki 20 (1988), 103-240. (1988) 
  5. A. Gray, Riemannian manifolds with geodesic symmetries of order 3, J. Diff. Geom. 7 (1972), 343-369. (1972) Zbl0275.53026MR0331281
  6. S. Helgason, Differential geometry, Lie groups and symmetric spaces, Acad. Press, New York 1978. (1978) Zbl0451.53038MR0514561
  7. D. Hertzig, The structure of Frobenius algebraic groups, Atner. J. Math. 3 (1961), 421-431. (1961) Zbl0117.27203MR0137708
  8. N. Jacobson, A note on automorphisms and derivations of Lie algebras, Proc. Amer. Math. Soc. 8 (1955), 281-283. (1955) Zbl0064.27002MR0068532
  9. O. Kowalski, Generalized symmetric spaces, LN in Mathematics, Vol. 805, Springer, Berlin 1980. (1980) Zbl0431.53042MR0579184
  10. V. Kreknin, On the solvability of Lie algebras with a regular automorphism of a finite order, (Russian), DAN SSSR 150 (1963), 467-469. (1963) MR0157990
  11. V. Platonov, Algebraic groups with almost regular automorphism, (Russian), lev. AN SSSR 31 (1967), 687-696. (1967) MR0217078
  12. A. Tralle, One new existence theorem for the generalized symmetric spaces of solvable type, Ann. Glob. Anal. and Geom. 8 (1990) (to appear). (1990) Zbl0666.53028MR1088508
  13. E. Vinberg A. Oniščik, Seminar on Lie groups and algebraic groups, (Russian). 
  14. E. Wilson, Isometry groups on homogeneous nilmanifolds, Geom. Dedic. 12 (1982), 337-346. (1982) Zbl0489.53045MR0661539

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