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Homogeneous Einstein metrics on spheres and projective spaces. (English) Zbl 0469.53043


MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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References:

[1] [B1] Berger, M.: Les variétés Riemanniennes homogènes normales simplement connexes à courbure strictement positive. Ann. Scuola Norm. Sup. Pisa15, 179-246 (1961) · Zbl 0101.14201
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[4] [DZ] D’Atri, J.E., Ziller, W.: Naturally reductive metrics and Einstein metrics on compact Lie groups. Mem. Ann. Math. Soc.215 (1979) · Zbl 0404.53044
[5] [J1] Jensen, G.R.: Einstein metrics on principle fibre bundles. J. Differential Geometry8, 599-614 (1973) · Zbl 0284.53038
[6] [J2] Jensen, G.R.: Imbeddings of Stiefel manifolds into Grassmannians. Duke Math. J.42, 397-407 (1975) · Zbl 0335.53042 · doi:10.1215/S0012-7094-75-04238-6
[7] [M] Matsushima, Y.: Remarks on Kaehler-Einstein manifolds. Nagoya Math. J.46, 161-173 (1972) · Zbl 0249.53050
[8] [O] Oniscik, A.L.: Transitive compact transformation groups. Mat. Sb.60, 447-485 (1963) [Russian]; Am. Math. Soc. Transl.55, 153-194 (1966) · Zbl 0203.26302
[9] [Z] Ziller, W.: The Jacobi equation on naturally reductive compact Riemannian homogeneous spaces. Comm. Math. Helv.52, 573-590 (1977) · Zbl 0368.53033 · doi:10.1007/BF02567391
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