%0 Journal Article
%T Classification of Einstein metrics on the product of an interval with a three-sphere
%A Curtis T. Asplund
%A Brian Krummel
%A Evan Merrell
%A Robert Rachal
%A DaGang Yang
%J Mathematics
%D 2011
%I arXiv
%X We present a complete classification of Einstein metrics on the space M = I \times S^3, where I is the interval (0,l) or (0,\infty) or their closures, and we consider separate metric functions f and h (functions of I) for the base and fiber of the Hopf fibration S^1 -> S^3 -> S^2. All such metrics yielding smooth and complete manifolds are included and discussed. The results are surprisingly rich, including many well-known examples and several one-parameter families of metrics with a variety of geometries.
%U http://arxiv.org/abs/1111.2153v1