$S^3$-bundles and exotic actions

 Access to full text

 Full (PDF)

1. [A-H-S] ATIYAH (M. F.), HITCHIN (N. J.) and SINGER (I. M.). — Self duality in four-dimensional riemannian geometry, Proc. R. Soc. London, Series A, Vol. 362, 1978, pp. 425-461. Zbl0389.53011MR80d:53023
2. [C-G] CHEEGER (J.) and GROMOLL (D.). — On the structure of complete open manifolds of non-negative curvature, Ann. Math., Vol. 96, 1972, pp. 413-443. Zbl0246.53049MR46 #8121
3. [D-R] DERDZINSKI (A) and RIGAS (A). — Unflat connections in 3-sphere bundles over S4, Trans. A.M.S., Vol. 265, No. 2, 1981, pp. 485-493. Zbl0465.53028MR82i:53026
4. [E-K] EELLS (J.) and KUIPER (N). — An invariant for certain smooth manifolds, Ann. Mat. Pura Appl., 1962, pp. 93-110. Zbl0119.18704MR27 #6280
5. [G-M] GROMOLL (D.) and MEYER (W.). — An exotic sphere with non-negative sectional curvature, Ann. Math., Vol. 100, 1974, pp. 407-411. Zbl0293.53015MR51 #11347
6. [H] HILTON (P.). — Suspension theorems and the generalized Hopf Invariant, Proc. London Math. Soc., Vol. 3, No 1, 1951, pp. 462-492. Zbl0045.12003MR13,674b
7. [HU] HU (S.-T.). — Homotopy theory, Academic Press, 1959. Zbl0088.38803MR21 #5186
8. [J-W] JAMES (I. M.) and WHITEHEAD (J. H. C.). — The homotopy theory of sphere bundles over spheres I and II, Proc. London Math. Soc., Vol. 4, 1954, pp. 196-218 and Vol. 5, 1955, pp. 148-166. Zbl0067.15901
9. [K-N] KOBAYASHI (S.) and NOMIZU (K.). — Foundations of differential geometry, I, Interscience, New York and London, 1963. Zbl0119.37502MR27 #2945
10. [R1] RIGAS (A.). — Geodesic spheres as generators of πqO, πq+1 BO, Jour. dif. geom., Vol. 13, No. 4, 1978, pp. 527-545. Zbl0441.55013MR81e:57043
11. [R2] RIGAS (A.). — Some bundles of non-negative curvature, Math. Ann., Vol. 232, 1978, pp. 187-193. Zbl0354.53039MR57 #4188
12. [S] STEENROD (N.). — The topology of fibre bundles, Princeton, Princeton Univ. Press, 1951. Zbl0054.07103MR12,522b
13. [T] TAMURA (I.). — Homeomorphy classification of total spaces of sphere-bundles over spheres, J. Math. Soc. Japan, Vol. 10, 1958, pp. 29-43. Zbl0082.16601MR20 #2717
14. [W] WALL (C. T. C.). — Surgery on compact manifolds, Academic Press, 1970. Zbl0219.57024MR55 #4217
15. [We] WEINSTEIN (A.). — Fat bundles and symplectic manifolds, Advances in Math., Vol. 37, No. 3, 1980, pp. 239-250. Zbl0449.53035MR82a:53038

1. T. E. Barros, Correction for the paper “$S^3$-bundles and exotic actions”