Concepedia

Focal sets of submanifolds

Thomas E. Cecil, Patrick J. Ryan

Pacific Journal of Mathematics · 1978 · 53 citations · 28 references

DOIFull text

Open access

Concepts

Abstract

This is a study of the manifold structure of the focal set of an immersed submanifold in a real space form M. A typical result is the following:

References

28

A global formulation of the Lie theory of transformation groups

Richard S. Palais · Memoirs of the American Mathematical Society · 1957 · 568 citations

, , +14

A Treatise on the Differential Geometry of Curves and Surfaces

G. B. M. · Nature · 1910 · 269 citations · Full text

, , +11

On some types of isoparametric hypersurfaces in spheres, II

Hideki Ozeki, Masaru Takeuchi · Tohoku Mathematical Journal · 1976 · 194 citations · Full text

, , +6

Homogeneity and some curvature conditions for hypersurfaces

Patrick J. Ryan · Tohoku Mathematical Journal · 1969 · 185 citations · Full text

, , +7

The Carathéodory metric and holomorphic maps on a class of weakly pseudoconvex domains

R. Michael Range · Pacific Journal of Mathematics · 1978 · 90 citations · Full text

, , +2