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New examples of manifolds with strictly positive curvature

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References

  1. Aloff, S., Wallach, N.R.: An infinite family of distinct 7-manifolds admitting positively curved Riemanninan structures. Bull. Amer. Math. Soc.81, 93–97 (1975)

    Google Scholar 

  2. Berard Bergery, L.: Les Variétés Riemanniennes homogènes simplement connexes de dimension impair à courbure stictement positive. J. Math. Pures Appl.55, 47–68 (1976)

    Google Scholar 

  3. Berger, M.: Les Variétés Riemanniennes homogènes normales simplement connexes à courbure strictement positive. Ann. Scuola Norm. Sup. Pisa15, 179–246 (1961)

    Google Scholar 

  4. Bott, R.: An application of the Morse Theory to the topology of Lie groups. Bull. Soc. Math. France84, 251–281 (1956)

    Google Scholar 

  5. Borel, A.: Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts. Ann. of Math.57, 115–207 (1953)

    Google Scholar 

  6. Borel, A.: Topology of Lie groups and characteristic classes. Bull. Amer. Math. Soc.61, 397–432 (1955)

    Google Scholar 

  7. Gromoll, D., Meyer, W.: An exotic sphere with nonnegative sectional curvature. Ann. of Math.100, 401–406 (1974)

    Google Scholar 

  8. Huang, H.-M.: Thesis. Stony Brook 1976

  9. O'Neill, B.: The fundamental equations of a submersion. Michigan Math. J.23, 459–469 (1966)

    Google Scholar 

  10. Wallach, N.R.: Compact homogeneous Riemannian manifolds with strictly positive curvature. Ann. of Math.96, 277–295 (1972)

    Google Scholar 

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Eschenburg, J.H. New examples of manifolds with strictly positive curvature. Invent Math 66, 469–480 (1982). https://doi.org/10.1007/BF01389224

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