We circumvent two gaps in the Gromoll-Walschap classification of metric fibrations from Euclidean spaces by presenting an alternative for the respective part of the proof. Combining it with the work of Florit-Goertsches-Lytchak-Toben, the classification of Riemannian foliations on Euclidean spaces is completed.
机构:
Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Donetsk 83114, 74, R. Luxemburg Str.Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Donetsk 83114, 74, R. Luxemburg Str.