This is a preview of subscription content, log in via an institution to check access.
References
Abe, K.: Thesis, Brown University, Providence, R. I., 1970.
Chern, S. S., Kuiper, N. H.: Some theorems on the isometric imbedding of compact Riemannian manifolds in Euclidean space. Ann. of Math.56, 422–430 (1952).
Ferus, D.: On the type number of hypersurfaces in spaces of constant curvature. Math. Ann.187, 310–316 (1970).
Gray, A.: Spaces of constancy of curvature operators. Proc. Amer. Math. Soc.17, 897–902 (1966).
Hsiang, W. Y.: Remarks on closed minimal submanifolds in the standard Riemannianm-sphere. J. Diff. Geometry1, 257–267 (1967).
Nomizu, K.: On the rank and curvature of nonsingular complex hypersurfaces in a complex projective space. J. Math. Soc. Japan21, 266–269 (1969).
O'Neill, B., Stiel, E.: Isometric immersions of constant curvature manifolds. Michigan Math. J.10, 335–339 (1963).
Rosenthal, A.: Riemannian manifolds of constant nullity. Michigan Math. J.14, 469–480 (1967).
Author information
Authors and Affiliations
Additional information
Work supported by the AF Office of Scientific Research Contract No. F 44620-67-C-0029.
Rights and permissions
About this article
Cite this article
Ferus, D. Totally geodesic foliations. Math. Ann. 188, 313–316 (1970). https://doi.org/10.1007/BF01431465
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01431465