Sur la courbure des métriques riemanniennes invariantes des groupes de Lie et des espaces homogènes

 Access to full text

 Full (PDF)

1. [A] D. V. ALEKSEEVSKI, Classification of Quaternionic Spaces with a Transitive Solvable Group of Motions (Math. of the USSR Izvestija, vol. 9, 1975, p. 297-339). Zbl0324.53038
2. [A-K] D. V. ALEKSEEVSKI et B. N. KIMEL'FEL'D, Structure of Homogeneous Riemann Spaces with zero Ricci Curvature (Funct. Analysis and Appl., vol. 9, 1975, p. 97-102). Zbl0316.53041
3. [BB] L. BÉRARD BERGERY, 1, Sur certaines fibrations d'espaces homogènes riemanniens (Compositio Mathematica, vol. 30, 1975, p. 43-61) ; 2, Les variétés riemanniennes homogènes simplement connexe de dimension impaire à courbure strictement positive (J. Math. pures et appl., vol. 55, 1976, p. 47-68). Zbl0289.53037MR51 #6659
4. [BE] M. BERGER, Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive (Annali della Scuola Norm. Sup. Pisa, vol. 15, 1961, p. 179-246). Zbl0101.14201MR24 #A2919
5. [BS] A. BESSE, Manifolds all of whose Geodesics are closed (Ergebnisse des Mathematik n° 93, Springer Verlag, 1978). Zbl0387.53010MR80c:53044
6. [BO] N. BOURBAKI, Groupes et algèbres de Lie, chap. 1, Hermann, 1971. 
7. [C-E] J. CHEEGER et D. G. EBIN, Comparison theorems in Riemannian Geometry, North-Holland, 1975. Zbl0309.53035MR56 #16538
8. [C-G] J. CHEEGER et D. GROMOLL. The Splitting Theorem for Manifolds of nonnegative Ricci Curvature J. of diff. geom. vol. 6, 1971, p. 119-128). Zbl0223.53033MR46 #2597
9. [HA] J. I. HANO, On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups (Amer. J. of Math., vol. 79, 1957, p. 885-900). Zbl0096.16203MR20 #2477
10. [HE] E. HEINTZE, Riemannsche Solvmannigfaltigkeiten (Geom. Dedicata, 1, 1972, p. 141-147). Zbl0249.53041MR46 #8123
11. [HN] S. HELGASON, Differential Geometry and Symmetric Spaces, Academic Press, 1962. Zbl0111.18101MR26 #2986
12. [HO] G. HOCHSCHILD, The Structure of Lie groups, Holden-Day, 1965. Zbl0131.02702MR34 #7696
13. [J] G. R. JENSEN, The scalar curvature of left-invariant Riemannian metrics (Indiana Univ. Math. J, vol. 20, 1971, p. 1125-1143). Zbl0219.53044MR44 #6914
14. [K-N] S. KOBAYASHI et K. NOMIZU, Foundations of Differential Geometry (Interscience Publishers, vol. I, 1963, II, 1969). Zbl0119.37502
15. [M] J. MILNOR, Curvatures of Left Invariant Metrics on Lie Groups (Adv. in Math., vol. 21, 1976, p. 293-329). Zbl0341.53030MR54 #12970
16. [O] B. O'NEILL, The Fundamental Equations of a Submersion (Mich. Math. J., 13, 1966, p. 459-469). Zbl0145.18602MR34 #751
17. [T] J. TITS, Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen (Lecture Notes, 40, Springer Verlag 1967). Zbl0166.29703MR36 #1575
18. [WA] N. WALLACH, Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature (Ann. of Math., vol. 96, 1972, p. 277-295). Zbl0261.53033MR46 #6243
19. [WO] J. A. WOLF, The Geometry and Structure of Isotropy Irreducible Homogeneous Spaces (Acta Math., vol. 120, 1968, p. 59-148). Zbl0157.52102MR36 #6549

1. Claudio Altafini, Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite riemannian metric
2. Claudio Altafini, Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite Riemannian metric
3. Mohammed Guediri, Mona Bin-Asfour, Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups
4. Lionel Bérard Bergery, La courbure scalaire des variétés riemanniennes