Literature Cited
J. T. Schwartz, Differential Geometry and Topology, Notes on Math. and Its Applications, New York (1968).
D. Ferus, “Totally geodesic foliations,” Math. Ann.,188, 313–316 (1970).
V. Yu. Rovenskii, “Totally geodesic foliations,” Sib. Mat. Zh., No. 3, 217–219 (1982).
P. Dombrowski, “Jacobi fields, totally geodesic foliations and geodesic differential forms,” Result. Math.,1, 156–194 (1970).
R. L. Bishop and R. J. Crittenden, Geometry of Manifolds, Academic Press, New York-London (1964).
V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of Differentiable Mappings [in Russian], Nauka, Moscow (1981).
M. W. Hirsch, Differential Topology, Graduate Texts in Math., Vol. 33, Springer-Verlag, New York-Heidelberg-Berlin (1976).
Additional information
Karaganda. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 6, pp. 141–152, November–December, 1984.
Rights and permissions
About this article
Cite this article
Rovenskii, V.Y. Ruled surfaces in the sphere. Sib Math J 25, 945–955 (1984). https://doi.org/10.1007/BF00968950
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968950