Bibliography
Berger, M., Gauduchon, P. and Mazet, E., ‘Le spectre d'une variété riemannienne’, Lecture Notes in Mathematics, Vol. 194, Springer Verlag, Berlin and New York, 1971.
Berger, M. and Ebin, D.J., ‘Some Decompositions on the Space of Riemannian Manifolds’, J. Diff. Geom. 3, 379–392 (1969).
Bourguignon, J.P., ‘On Harmonic Forms of Curvature Type’, (to appear).
Chaki, M. C. and Gupta, B., ‘On Conformally Symmetric Spaces’, Indian J. Math. 5, 113–122 (1963).
Cheng, S.Y. and Yau, S.T., ‘Hypersurfaces with Constant Scalar Curvature’, Math. Ann. 225, 195–204 (1977).
Glodek, E., ‘Some Remarks on Conformally Symmetric Riemannian Spaces’, Coll. Math. 23, 121–123 (1971).
Goldberg, S.I., ‘On Conformally Flat Spaces with Definite Ricci Curvature’, Kodai Math. Sem. Rep. 21, 226–232 (1969).
Goldberg, S.I. and Okumura, M., ‘Conformally Flat Manifolds and a Pinching Problem on the Ricci Tensor’, Proc. Am. Math. Soc. 58, 234–236 (1976).
Gray, A., ‘Pseudo-Riemannian Almost Product Manifolds and Submersions’, J. Math. Mech. 16, 715–737 (1967).
Gray, A., ‘Nearly Kähler Manifolds’, J. Diff. Geom. 4, 283–310 (1970).
Gray, A., ‘Riemannian Manifolds with Geodesic Symmetries of Order 3’, J. Diff. Geom. 7, 343–369 (1972).
Gray, A., ‘Compact Kähler Manifolds with Nonnegative Sectional Curvature’, Invent. Math. 41, 33–43 (1977).
Kobayashi, S. and Nomizu, K., Foundations of Differential Geometry, John Wiley, New York, 1961.
Matsushima, Y., ‘Remarks on Kähler-Einstein Manifolds’, Nagoya Math. J. 46, 161–173 (1972).
Nomizu, K., ‘Invariant Affine Connections on Homogeneous Spaces’, Am. J. Math. 76, 33–65 (1954).
Nomizu, K., ‘On the Decomposition of Generalized Curvature Tensor Fields’, Differential Geometry in Honor of K. Yano, Kinokunuja, Tokyo, pp. 335–345 (1972).
Nomizu, K. and Smythe, B., ‘A Formula of Simons' Type and Hypersurfaces with Constant Mean Curvature’, J. Diff. Geom. 3, 367–377 (1969).
Ryan, P., ‘A Note on Conformally Flat Spaces with Constant Scalar Curvature’, Proc. 13th Biennial Seminar of the Canadian Math. Congress.
Schouten, J.A., ‘Ricci Calculus, Der mathematischen Wissenschaften’ in Einzeldarstellungen, Band X, Springer Verlag, Berlin, 1954.
Simon, U., ‘Compact Conformally Symmetric Riemannian Spaces’, Math. Z. 132, 173–177 (1973).
Simon, U., ‘On Differential Operators of Second Order on Riemannian Manifolds with Nonpositive Curvature’, Coll. Math. 31, 223–229 (1974).
Sumitomo, T., ‘On a Certain Class of Riemannian Homogeneous Spaces’, Coll. Math. 26, 129–133 (1972).
Tani, M., ‘On a conformally Flat Riemannian Space with Positive Ricci Curvature’, Tôhoku Math. J. 19, 227–231 (1967).
Wegner, B., ‘Codazzi-Tensoren und Kennzeichnungen sphärischer Immersionen’, J. Diff. Geom. 9, 61–70 (1974).
Wegner, B., ‘Kennzeichnungen von Räumen konstanter Krümmung unter local konformeuklidischen Riemannschen Mannigfaltigkeiten’, Geom. Dedicata (to appear).
Yano, K., Integral Formulas in Riemannian Geometry, Marcel Dekker, Inc., New York, 1970.
Yano, K. and Bochner, S., ‘Curvature and Betti Numbers’, Ann. Math. Studies 32, Princeton University Press, Princeton, New Jersey, 1953.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gray, A. Einstein-like manifolds which are not Einstein. Geom Dedicata 7, 259–280 (1978). https://doi.org/10.1007/BF00151525
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00151525