On the Bianchi identities. (English) Zbl 0234.53021


53B05 Linear and affine connections
53B20 Local Riemannian geometry
Full Text: DOI EuDML


[1] Eisenhart, L. P.: Riemannian Geometry. Princeton: University Press 1949. · Zbl 0041.29403
[2] Garland, H., Raghunathan, M. S.: Fundamental domains for lattices. Ann. of Math.92, 279-326 (1970). · Zbl 0206.03603
[3] Gray, A.: Some relations between curvature and characteristic classes. Math. Ann.184, 267-267 (1970). · Zbl 0183.50502
[4] Herglotz, G.: Zur Einsteinschen Gravitätstheorie. Leipz. Ber. t.68, 199-203 (1916).
[5] Kulkarni, R. S.: Curvature and metric. Ann. of. Math.91, 311-331 (1970). · Zbl 0191.19903
[6] Kulkarni, R. S.: Curvature structures and conformal transformations. J. Diff. Geometry, Vol. 4, 425-451. · Zbl 0206.24403
[7] Kulkarni, R. S.: On a theorem of F. Schur. J. Diff. Geometry, Vol. 4, 453-456. · Zbl 0206.24404
[8] Kulkarni, R. S.: On congruence of hypersurfaces (to appear). · Zbl 0271.53052
[9] Mostow, G. D.: Quasiconformal mappings inn-space and the rigidity of hyperbolic space forms. Inst. Hautes Etudes Sc. Publ. Mth.34, 53-104 (1968). · Zbl 0189.09402
[10] Nomizu, K.: On the decomposition of generalized curvature tensor fields (to appear). · Zbl 0244.53032
[11] Nomizu, K.: On the spaces of generalized curvature tensor fields (to appear). · Zbl 0218.53064
[12] Obata, M.: The conjectures on conformal transformations (to appear). · Zbl 0208.49903
[13] Rham, G. de: Complexes √† automorphismes et homeomorphie differentiables. Ann. Inst. Fourier Grenoble2, 51-67 (1950). · Zbl 0043.17601
[14] Thorpe, J. A.: Sectional curvatures and characteristic classes. Ann. of Math.80, 429-443 (1964). · Zbl 0134.17702
[15] Thorpe, J. A., Singer, I. M.: The curvature of 4-dimensional Einstein spaces. Global Analysis Papers in Honor of K. Kodaira, pp. 355-365.
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