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New examples of manifolds with strictly positive curvature. (English) Zbl 0484.53031


MathOverflow Questions:

A followup on non-homogeneous spaces.

MSC:

53C20 Global Riemannian geometry, including pinching

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) · Zbl 0362.53033 · doi:10.1090/S0002-9904-1975-13649-4
[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)
[3] Berger, M.: Les Variétés Riemanniennes homogènes normales simplement connexes à courbure strictement positive. Ann. Scuola Norm. Sup. Pisa15, 179-246 (1961) · Zbl 0101.14201
[4] Bott, R.: An application of the Morse Theory to the topology of Lie groups. Bull. Soc. Math. France84, 251-281 (1956) · Zbl 0073.40001
[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) · Zbl 0052.40001 · doi:10.2307/1969728
[6] Borel, A.: Topology of Lie groups and characteristic classes. Bull. Amer. Math. Soc.61, 397-432 (1955) · Zbl 0066.02002 · doi:10.1090/S0002-9904-1955-09936-1
[7] Gromoll, D., Meyer, W.: An exotic sphere with nonnegative sectional curvature. Ann. of Math.100, 401-406 (1974) · Zbl 0293.53015 · doi:10.2307/1971078
[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) · Zbl 0145.18602
[10] Wallach, N.R.: Compact homogeneous Riemannian manifolds with strictly positive curvature. Ann. of Math.96, 277-295 (1972) · Zbl 0261.53033 · doi:10.2307/1970789
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