@article{10_21136_CMJ_1995_128512,
author = {Cordero, Luis A. and Parker, Phillip E.},
title = {Examples of sectional curvature with prescribed symmetry on $3$-manifolds},
journal = {Czechoslovak Mathematical Journal},
pages = {7--20},
year = {1995},
volume = {45},
number = {1},
doi = {10.21136/CMJ.1995.128512},
mrnumber = {1314528},
zbl = {0835.53079},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128512/}
}
TY - JOUR AU - Cordero, Luis A. AU - Parker, Phillip E. TI - Examples of sectional curvature with prescribed symmetry on $3$-manifolds JO - Czechoslovak Mathematical Journal PY - 1995 SP - 7 EP - 20 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128512/ DO - 10.21136/CMJ.1995.128512 LA - en ID - 10_21136_CMJ_1995_128512 ER -
%0 Journal Article %A Cordero, Luis A. %A Parker, Phillip E. %T Examples of sectional curvature with prescribed symmetry on $3$-manifolds %J Czechoslovak Mathematical Journal %D 1995 %P 7-20 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128512/ %R 10.21136/CMJ.1995.128512 %G en %F 10_21136_CMJ_1995_128512
Cordero, Luis A.; Parker, Phillip E. Examples of sectional curvature with prescribed symmetry on $3$-manifolds. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 1, pp. 7-20. doi: 10.21136/CMJ.1995.128512
[A] L. Auslander: An exposition of the structure of solvmanifolds. Part II: $G$-induced flows. Bull. Amer. Math. Soc. 79 (1973), 262–285. | DOI | MR
[B] R. L. Bishop: Clairaut submersions. Differential Geometry, in Honor of K. Yano, S. Kobayashi et al. (eds.), Tokyo, Kinokuniya, 1972, pp. 21–31. | MR | Zbl
[BP] J. K. Beem and P. E. Parker: Values of pseudoriemannian sectional curvature. Comment. Math. Helv. 59 (1984), 319–331. | DOI | MR
[CL] E. A. Coddington and N. Levinson: Theory of Ordinary Differential Equations. New York, McGraw-Hill, 1955. | MR
[CP] L. A. Cordero and P. E. Parker: Symmetries of sectional curvature on 3-manifolds. (to appear). | MR
[CPIII] L. A. Cordero and P. E. Parker: Left-invariant Lorentzian metrics on 3-dimensional Lie groups. to appear. | MR
[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. | DOI | MR
[HE] S. W. Hawking and G. F. R. Ellis: The Large Scale Structure of Space-time. Cambridge, U.P., 1973. | MR
[ON] B. O’Neill: Semi-riemannian Geometry. New York, Academic Press, 1983. | MR
[W] J. A. Wolf: Spaces of Constant Curvature. $5^{\mathrm th}$ ed. Boston, Publish or Perish, 1984. | MR | Zbl
Cité par Sources :