Abstract
The purpose of this note is to complete the classification of metric fibrations in Euclidean space begun in [1]. Building on our techniques there, we show that regardless of dimension, the fibers are always the orbits of a free isometric group action by generalized glide rotations. A key ingredient of the argument is the fact that in the global setting, these fibrations satisfy a strong algebraic rigidity.
Citation
Detlef Gromoll. Gerard Walschap. "The Metric Fibrations of Euclidean Space." J. Differential Geom. 57 (2) 233 - 238, February, 2001. https://doi.org/10.4310/jdg/1090348110
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