| Title:
|
Semi-symmetric $\frak P$-spaces (English) |
| Author:
|
Boeckx, Eric |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
565-573 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We determine explicitly the local structure of a semi-symmetric $\frak P$-space. (English) |
| Keyword:
|
semi-symmetric spaces |
| Keyword:
|
Jacobi operators |
| Keyword:
|
$\frak C$- and $\frak P$-spaces |
| MSC:
|
53B20 |
| MSC:
|
53C25 |
| MSC:
|
53C35 |
| idZBL:
|
Zbl 0816.53010 |
| idMR:
|
MR1307284 |
| . |
| Date available:
|
2009-01-08T18:13:26Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118697 |
| . |
| Reference:
|
[BePV] Berndt J., Prüfer F., Vanhecke L.: Symmetric-like Riemannian manifolds and geodesic symmetries.Proc. Royal Soc. Edingurgh, Sect. A, to appear. MR 1331561 |
| Reference:
|
[BeV1] Berndt J., Vanhecke L.: Two natural generalizations of locally symmetric spaces.Diff. Geom. Appl. 2 (1992), 57-80. Zbl 0747.53013, MR 1244456 |
| Reference:
|
[BeV2] Berndt J., Vanhecke L.: Geodesic spheres and generalizations of symmetric spaces.Boll. Un. Nat. Ital. 7-A (1993), 125-134. Zbl 0778.53043, MR 1215106 |
| Reference:
|
[BeV3] Berndt J., Vanhecke L.: Geodesic sprays and $\frak C$- and $\frak P$-spaces.Rend. Sem. Mat. Univ. Politec. Torino 50 (1992), 343-358. MR 1261447 |
| Reference:
|
[B1] Boeckx E.: Einstein-like semi-symmetric spaces.Arch. Math. (Brno) 29 (1993), 235-240. Zbl 0807.53041, MR 1263125 |
| Reference:
|
[B2] Boeckx E.: Asymptotically foliated semi-symmetric spaces.preprint, 1993. Zbl 0846.53031, MR 1369387 |
| Reference:
|
[BKV] Boeckx E., Kowalski O., Vanhecke L.: Non-homogeneous relatives of symmetric spaces.Diff. Geom. Appl., to appear. Zbl 0796.53046 |
| Reference:
|
[C] Cho J.T.: Natural generalizations of locally symmetric spaces.Indian J. Pure Appl. Math. 24 (1993), 231-240. Zbl 0772.53029, MR 1218533 |
| Reference:
|
[K] Kowalski O.: An explicit classification of $3$-dimensional Riemannian spaces satisfying $R(X,Y)\cdot R=0$.preprint, 1991. Zbl 0879.53014, MR 1408298 |
| Reference:
|
[Sz1] Szabó Z.I.: Structure theorems on Riemannian manifolds satisfying $R(X,Y)\cdot R=0$, I, Local version.J. Diff. Geom. 17 (1982), 531-582. MR 0683165 |
| Reference:
|
[Sz2] Szabó Z.I.: Structure theorems on Riemannian manifolds satisfying $R(X,Y)\cdot R=0$, II, Global versions.Geom. Dedicata 19 (1985), 65-108. MR 0797152 |
| . |
