The Metric Fibrations of Euclidean Space
Gromoll, Detlef ; Walschap, Gerard
J. Differential Geom., Tome 57 (2001) no. 2, p. 233-238 / Harvested from Project Euclid
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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.
Publié le : 2001-02-14
Classification:  
@article{1090348110,
     author = {Gromoll, Detlef and Walschap, Gerard},
     title = {The Metric Fibrations of Euclidean Space},
     journal = {J. Differential Geom.},
     volume = {57},
     number = {2},
     year = {2001},
     pages = { 233-238},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090348110}
}

Gromoll, Detlef; Walschap, Gerard. The Metric Fibrations of Euclidean Space. J. Differential Geom., Tome 57 (2001) no. 2, pp.  233-238. http://gdmltest.u-ga.fr/item/1090348110/