An application of the Morse theory to the topology of Lie-groups
Bott, Raoul
Bulletin de la Société Mathématique de France, Tome 84 (1956), p. 251-281 / Harvested from Numdam
@article{BSMF_1956__84__251_0,
     author = {Bott, Raoul},
     title = {An application of the Morse theory to the topology of Lie-groups},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     volume = {84},
     year = {1956},
     pages = {251-281},
     doi = {10.24033/bsmf.1472},
     mrnumber = {19,291a},
     zbl = {0073.40001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BSMF_1956__84__251_0}
}
Bott, Raoul. An application of the Morse theory to the topology of Lie-groups. Bulletin de la Société Mathématique de France, Tome 84 (1956) pp. 251-281. doi : 10.24033/bsmf.1472. http://gdmltest.u-ga.fr/item/BSMF_1956__84__251_0/

[1] É. Cartan, La géométrie des groupes simples (Œuvres, t. 2, Part I, p. 793 ; also papers referred to there in). | JFM 53.0392.03

[2] C. Chevalley, Theory of Lie groups I (Princeton, New Jersey, Princeton University press, 1946). | Zbl 0063.00842

[3] R. Deheuvels, Topologie d'une fonctionnelle [Ann. math., (2), t. 61, 1955, p. 13-72]. | MR 16,1042f | Zbl 0067.33303

[4] A. Borel, a. Sur la cohomologie des espaces fibrés... (Ann. Math., t. 57, 1953, n° 1, p. 115). | MR 14,490e | Zbl 0052.40001

A. Borel, b. Kählerian, coset spaces of semisimple Lie groups (Proc. Nat. Acad. Sc., t. 40, 1954, p. 1147-1151). | MR 17,1108e | Zbl 0058.16002

[5] R. Bott, On Torsion in Lie groups (Proc. Nat. Acad. Sc., t. 40, 1954, p. 586-588). | MR 16,12a | Zbl 0057.02201

[6] F. Hirzebruch, On the characteristic classes of differentiable manifolds (Colloque H. Poincaré, octobre 1954).

[7] H. Hopf, Maximale Toroide und singulare elemente in geschlossenen Lieschen gruppen (Com. Math. Helv., t. 15, 1942, p. 59). | JFM 68.0044.01 | MR 4,173c | Zbl 0027.09601

[8] J. Leray, L'anneau spectral et l'anneau filtré... (J. Math. pures et appl., t. 39, 1950).

[9] M. Morse, The calculus of variations in the large (Mat. Coll. Publ., t. 18, 1934). | JFM 60.0450.01 | MR 98f:58070 | Zbl 0011.02802

[10] Seifert-Threlfall, Variationsrechnung im Grossen, Teubner, 1938. | JFM 64.0499.02 | Zbl 0021.14103

[11] J.-P. Serre, a. Homologie singulière des espaces fibrés. Applications (Ann. Math., t. 54, 1951, p. 425). | MR 13,574g | Zbl 0045.26003

J.-P. Serre, b. Groupes d'homotopie et classes de groupes abéliens (Ann. Mat., t. 58, 1953, p. 258). | MR 15,548c | Zbl 0052.19303

[12] E. Stiefel, Ueber eine Beziehung... (Com. Math. Helv., t. 14, 1942, p. 350). | MR 4,134e | Zbl 0026.38603