Flats in Riemannian Submersions from Lie Groups

Tapp, Kristopher

Asian J. Math., Tome 13 (2009) no. 1, p. 459-464 / Harvested from Project Euclid

Résumé

We prove that any base space of a Riemannian submersion from a compact Lie group (with bi-invariant metric) must have a basic property previously known for normal biquotients; namely, any zero-curvature plane exponentiates to a flat.

Publié le : 2009-12-15
Classification: Lie group, Riemannian submersion, 53C

@article{1275671453,
     author = {Tapp, Kristopher},
     title = {Flats in Riemannian Submersions from Lie Groups},
     journal = {Asian J. Math.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 459-464},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1275671453}
}

Tapp, Kristopher. Flats in Riemannian Submersions from Lie Groups. Asian J. Math., Tome 13 (2009) no. 1, pp.  459-464. http://gdmltest.u-ga.fr/item/1275671453/