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Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor. (English) Zbl 0453.53037

MSC:
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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References:
[1] Bourguignon, J.P.: On harmonic forms of curvature type. Preprint.
[2] Cartan, É.: Familles de surfaces isoparamétriques dans les espaces à courbure constante. Ann. Mat. Pura Appl.17, 177–191 (1938) · Zbl 0020.06505 · doi:10.1007/BF02410700
[3] Gray, A.: Einstein-like manifolds which are not Einstein. Geometriae dedicata7, 259–280 (1978) · Zbl 0378.53018 · doi:10.1007/BF00151525
[4] Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry, vol. I. New York-London: Interscience 1963 · Zbl 0119.37502
[5] Kručkovič, G.I.: On semi-reducible Riemannian spaces (in Russian), Dokl. Akad. Nauk SSSR115, 862–865 (1957)
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