Abstract
It is well-known that every parallel isometric immersion of space forms into space forms is isotropic in the sense of O'Neill. We characterize this parallel immersion from this point of view.
Citation
Nobutaka Boumuki. "Isotropic immersions and parallel immersions of space forms into space forms." Tsukuba J. Math. 28 (1) 117 - 126, June 2004. https://doi.org/10.21099/tkbjm/1496164716
Information
Published: June 2004
First available in Project Euclid: 30 May 2017
zbMATH: 1074.53047
MathSciNet: MR2082224
Digital Object Identifier: 10.21099/tkbjm/1496164716
Rights: Copyright © 2004 University of Tsukuba, Institute of Mathematics
