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Group actions and curvature. (English) Zbl 0271.53044

MSC:
53C20 Global Riemannian geometry, including pinching
57S15 Compact Lie groups of differentiable transformations
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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References:
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[2] Gromoll, D., Klingenberg, W., Meyer, W.: Riemannsche Geometrie im Großen. Lecture Notes in Mathematics55. Berlin-Heidelberg-New York: Springer 1968 · Zbl 0155.30701
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[5] Grove, K., Karcher, H., Ruh, E.: Group actions and Curvature. Bull. Amer. Math. Soc. to appear. · Zbl 0271.53044
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[12] Palais, R.S.: Equivalence of nearby differentiable actions of a group. Bull. Amer. Math. Soc.67, 362-364 (1961) · Zbl 0102.38101 · doi:10.1090/S0002-9904-1961-10617-4
[13] Ruh, E.A.: Curvature and differentiable structures on spheres. Comment. Math. Helv.46, 127-136 (1971) · Zbl 0206.50704 · doi:10.1007/BF02566833
[14] Ruh, E.A.: Krummung und differenzierbare Struktur auf Sphären, II. Math. Ann.205, 113-129 (1973) · Zbl 0273.53035 · doi:10.1007/BF01350841
[15] Shiohama, K.: Pinching theorem for the real projective space. To appear. · Zbl 0265.53043
[16] Sugimoto, M., Shiohama, K., Karcher, H.: On the differentiable pinching problem. Math. Ann.195, 1-16 (1971) · Zbl 0218.53063 · doi:10.1007/BF02059412
[17] Wolf, J.: Spaces of constant curvature. New York: McGraw-Hill 1967 · Zbl 0162.53304
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