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References
Chern, S. S.: On the curvature and characteristic classes of a Riemannian manifold. Abh. Math. Sem. Univ. Hamburg20, 117–126 (1956).
Cheung, Y. K., Hsiung, C. C.: Curvature and characteristic classes of compact Riemannian manifolds. J. Differential Geometry1, 89–97 (1967).
de Rham, G.: On the area of complex manifolds. Seminar on Several Complex Variables. Institute for Advanced Study, 1957.
Gray, A.: Minimal varieties and almost Hermitian manifolds. Michigan Math. J.12, 273–287 (1965).
—— Spaces of constancy of curvature operators. Proc. Amer. Math. Soc.17, 897–902 (1966).
Milnor, J.: Morse theory. Ann. of Math. Studies, no. 51, 1963.
Thorpe, J.: Sectional curvatures and characteristic classes. Ann. of Math.80, 429–443 (1964).
—— On the curvatures of Riemannian manifolds. Ill. J. of Math.10, 412–417 (1966).
—— Some remarks on the Gauss-Bonnet integral. J. Math. Mech.18, 779–786 (1969).
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Gray, A. Some relations between curvature and characteristic classes. Math. Ann. 184, 257–267 (1970). https://doi.org/10.1007/BF01350854
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DOI: https://doi.org/10.1007/BF01350854