References
Cartan, É.: La déformation des hypersurfaces dans l'espace conforme réel àn ≥ 5 dimensions. Bull. Soc. Math. France45, 57–121 (1917)
Cartan, É.: Sur les varietés de courbure constante d'un espace euclidien ou non-euclidien. Bull. Soc. Math. France47, 125–160 (1919) and48, 132–208 (1920)
Cheeger, J., Simons, J.: Differential characters and geometric invariants. Manuscript from Stanford conference (1973)
Chern, S. S., Kuiper, N. S.: Some theorems on the isometric imbedding of compact Riemannian manifolds in Euclidean space. Annals Math.56, 422–430 (1952)
Chern, S. S., Simons, J.: Characteristic forms and geometric invariants. Annals Math.99, 48–69 (1974)
Eisenhart, L. P.: Riemannian geometry. Princeton, N. J.: Princeton University Press 1926
Hu, S. T.: Homotopy theory. New York: Academic Press 1959
Kobayashi, S., Nomizu, K.: Foundations of differential geometry. (2 vols.) New York: Wiley-Interscience 1963–1969
Milnor, J.: Morse Theory. Annals of Math. Studies51. Princeton, N.J.: Princeton University Press 1963
O'Neill, B.: Umbilics of constant curvature immersions. Duke Math. J.32, 149–160 (1965)
Author information
Authors and Affiliations
Additional information
This research was partially supported by NSF Grant No. MPS 74–06843 A 01 and “Sonder-forschungsbereich Theoretische Mathematik” (SFB 40) at the University of Bonn.
Rights and permissions
About this article
Cite this article
Moore, J.D. Conformally flat submanifolds of Euclidean space. Math. Ann. 225, 89–97 (1977). https://doi.org/10.1007/BF01364894
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01364894