Abstract
In this article an analogue of E. Cartan's theorem about the existence of (local) totally geodesic submanifolds with a prescribed tangent plane is proved, namely for the existence of spherically bent submanifolds (= extrinsic spheres); also a global version is deduced.
Citation
Knut Pawel. Helmut Reckziegel. "On the existence of spherically bent submanifolds, an analogue of a theorem of E. Cartan." Kodai Math. J. 26 (2) 199 - 220, June 2003. https://doi.org/10.2996/kmj/1061901062
Information