Diffeomorphism type of the Berger space
Differential Geometry
2007-06-27 v2 Algebraic Topology
Abstract
We compute the Eells-Kuiper invariant of the Berger manifold SO(5)/SO(3) and determine that it is diffeomorphic to the total space of an S^3-bundle over S^4. This answers a question raised by K. Grove and W. Ziller.
Cite
@article{arxiv.math/0204352,
title = {Diffeomorphism type of the Berger space},
author = {Sebastian Goette and Nitu Kitchloo and Krishnan Shankar},
journal= {arXiv preprint arXiv:math/0204352},
year = {2007}
}
Comments
LaTeX, 17 pages. v2: proofs of corollaries added