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Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature

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Literature Cited

  1. W. Ziller and M. Wang, “On normal homogeneous Einstein manifolds,” Ann. Sci. Ecole Norm. Super.,18, 563–633 (1985).

    Google Scholar 

  2. N. Wallach, “Compact homogeneous Riemannian manifolds with strictly positive curvature,” Ann. Math.,96, 277–295 (1972).

    Google Scholar 

  3. B. Bergery, “Les variétés riemanniennes homogènes simplement connexes de dimension impaire à courbure strictement positive,” J. Math. Pures Appl.,55, 47–67 (1976).

    Google Scholar 

  4. W. Ziller, “Homogeneous Einstein metrics on spheres and projective spaces,” Math. Ann.,259, 351–358 (1982).

    Google Scholar 

  5. S. Kobayashi and K. Nomidzu, Foundations of Differential Geometry [Russian translation], Vol. II, Nauka, Moscow (1981).

    Google Scholar 

  6. F. M. Valiev, “Sectional curvatures of homogeneous Riemannian spaces,” Disseration, Inst. Math., Sib. Sect., Acad. Sci USSR, Novosibirsk, 1981.

    Google Scholar 

  7. R. Shafer, An Introduction to Nonassociative Algebras, Academic Press, New York (1966).

    Google Scholar 

  8. M. Berger, “Les variétés riemanniennes homogènes normales simplement connexes à courbure strictment positive,” Ann. Scuola. Norm. Super. Pisa Sci. Fis. Mat.,15, 179–246 (1961).

    Google Scholar 

  9. E. D. Rodionov, “Rank of a normal homogeneous space,” Sib. Mat. Zh.,28, No. 5, 154–159 (1987).

    Google Scholar 

  10. D'Atri, Nickerson, “Geodesic symmetries in spaces with special curvature tensors,” J. Different. Geom.,9, 251–262 (1974).

    Google Scholar 

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Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 126–131, May–June, 1991.

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Rodionov, E.D. Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature. Sib Math J 32, 455–459 (1991). https://doi.org/10.1007/BF00970483

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  • DOI: https://doi.org/10.1007/BF00970483

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