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How to conjugate C$$^1$$-close group actions. (English) Zbl 0245.57016

##### MSC:
 57S15 Compact Lie groups of differentiable transformations 57S25 Groups acting on specific manifolds 53C20 Global Riemannian geometry, including pinching 58D15 Manifolds of mappings
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##### References:
 [1] Eliasson, H.I.: Geometry of manifolds of maps. J. Diff. Geometry1, 169-194 (1967). · Zbl 0163.43901 [2] Gromoll, D., Klingenberg, W., Meyer, W.: Riemannsche Geometrie im Großen. Lecture notes series 55. Berlin-Heidelberg-New York: Springer 1968. · Zbl 0155.30701 [3] Grove, K., Karcher, H.: On pinched manifolds with fundamental group ?2, to appear in Compositio math. · Zbl 0266.53032 [4] Karcher, H.: Anwendungen der Alexandrowschen Winkelvergleichssätze. Manuscripta math.2, 77-102 (1970). · Zbl 0185.25803 [5] Palais, R.S.: Equivalence of nearby differentiable actions of a compact group. Bull. Amer. math. Soc.67, 362-364 (1961). · Zbl 0102.38101 [6] Shiohama, K.: Pinching theorem for the real projective space, preprint Tokyo (1972). · Zbl 0265.53043
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