S 3 -bundles and exotic actions

A. Rigas

Bulletin de la Société Mathématique de France (1984)

  • Volume: 112, page 69-92
  • ISSN: 0037-9484

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Rigas, A.. "$S^3$-bundles and exotic actions." Bulletin de la Société Mathématique de France 112 (1984): 69-92. <http://eudml.org/doc/87474>.

@article{Rigas1984,
author = {Rigas, A.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {exotic spheres; free -action on ; seven- dimensional sphere},
language = {eng},
pages = {69-92},
publisher = {Société mathématique de France},
title = {$S^3$-bundles and exotic actions},
url = {http://eudml.org/doc/87474},
volume = {112},
year = {1984},
}

TY - JOUR
AU - Rigas, A.
TI - $S^3$-bundles and exotic actions
JO - Bulletin de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 112
SP - 69
EP - 92
LA - eng
KW - exotic spheres; free -action on ; seven- dimensional sphere
UR - http://eudml.org/doc/87474
ER -

References

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  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

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