English

New Einstein Metrics on 8#(S^2 times S^3)

Differential Geometry 2007-05-23 v1

Abstract

We show that #8(S^2 times S^3) admits two 8-dimensional complex families of inequivalent non-regular Sasakian-Einstein structures. These are the first known non-regular Sasakian-Einstein metrics on this 5-manifold.

Keywords

Cite

@article{arxiv.math/0208202,
  title  = {New Einstein Metrics on 8#(S^2 times S^3)},
  author = {Charles P. Boyer and Krzysztof Galicki},
  journal= {arXiv preprint arXiv:math/0208202},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T16:47:16.666Z