The concept of Cheeger deformations on fiber bundles with compact structure group
The purpose of this paper is two-fold: we systematically introduce the notion of Cheeger
deformations on fiber bundles with compact structure groups, and recover in a very simple …
deformations on fiber bundles with compact structure groups, and recover in a very simple …
The classification of five-dimensional geometries
ALL Geng - 2016 - search.proquest.com
We classify the 5-dimensional homogeneous geometries in the sense of Thurston. The 5-
dimensional geometries with irreducible isotropy are the irreducible Riemannian symmetric …
dimensional geometries with irreducible isotropy are the irreducible Riemannian symmetric …
5-dimensional geometries III: the fibered geometries
A Geng - arXiv preprint arXiv:1605.07546, 2016 - arxiv.org
We classify the 5-dimensional homogeneous geometries in the sense of Thurston. The
present paper (part 3 of 3) classifies those in which the linear isotropy representation is …
present paper (part 3 of 3) classifies those in which the linear isotropy representation is …
Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions
MM Kerr, A Kollross - Geometriae Dedicata, 2013 - Springer
We consider invariant Riemannian metrics on compact homogeneous spaces G/H where an
intermediate subgroup K between G and H exists, so that the homogeneous space G/H is …
intermediate subgroup K between G and H exists, so that the homogeneous space G/H is …