| Title:
|
Examples of sectional curvature with prescribed symmetry on $3$-manifolds (English) |
| Author:
|
Cordero, Luis A. |
| Author:
|
Parker, Phillip E. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
7-20 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C30 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 0835.53079 |
| idMR:
|
MR1314528 |
| DOI:
|
10.21136/CMJ.1995.128512 |
| . |
| Date available:
|
2009-09-24T09:44:13Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128512 |
| . |
| Reference:
|
[A] L. Auslander: An exposition of the structure of solvmanifolds. Part II: $G$-induced flows.Bull. Amer. Math. Soc. 79 (1973), 262–285. MR 0486308, 10.1090/S0002-9904-1973-13139-8 |
| Reference:
|
[B] R. L. Bishop: Clairaut submersions.Differential Geometry, in Honor of K. Yano, S. Kobayashi et al. (eds.), Tokyo, Kinokuniya, 1972, pp. 21–31. Zbl 0246.53048, MR 0334078 |
| Reference:
|
[BP] J. K. Beem and P. E. Parker: Values of pseudoriemannian sectional curvature.Comment. Math. Helv. 59 (1984), 319–331. MR 0749111, 10.1007/BF02566352 |
| Reference:
|
[CL] E. A. Coddington and N. Levinson: Theory of Ordinary Differential Equations.New York, McGraw-Hill, 1955. MR 0069338 |
| Reference:
|
[CP] L. A. Cordero and P. E. Parker: Symmetries of sectional curvature on 3-manifolds.(to appear). MR 1362194 |
| Reference:
|
[CPIII] L. A. Cordero and P. E. Parker: Left-invariant Lorentzian metrics on 3-dimensional Lie groups.to appear. MR 1459412 |
| Reference:
|
[EP] R. H. Escobales and P. E. Parker: Geometric consequences of the normal curvature cohomology class in umbilic foliations.Indiana U. Math. J. 37 (1988), 389–408. MR 0963509, 10.1512/iumj.1988.37.37020 |
| Reference:
|
[HE] S. W. Hawking and G. F. R. Ellis: The Large Scale Structure of Space-time.Cambridge, U.P., 1973. MR 0424186 |
| Reference:
|
[ON] B. O’Neill: Semi-riemannian Geometry.New York, Academic Press, 1983. MR 0719023 |
| Reference:
|
[W] J. A. Wolf: Spaces of Constant Curvature.$5^{\mathrm th}$ ed. Boston, Publish or Perish, 1984. Zbl 0556.53033, MR 0928600 |
| . |
