A G₂-manifold with conical singularities is also called a -conifold.
On G₂-conifolds (G₂-manifolds with conical singularities):
Survey:
Spiro Karigiannis, -conifolds: A survey, 2014 (pdf)
Mark Haskins, Exotic Einstein metrics on and nearly Kähler 6-manifolds and -holonomy cones, 2016 (pdf)
Three simply connected -cones are known: the
metric cone on
metric cone on
Robert Bryant, Simon Salamon, On the construction of some complete metrics with exceptional holonomy, Duke Math. J. Volume 58, Number 3 (1989), 829-850 (euclid:euclid.dmj/1077307681)
Gary Gibbons, Don Page, Christopher Pope, Einstein metrics on , and bundles, Comm. Math. Phys. Volume 127, Number 3 (1990), 529-553 (euclid:cmp/1104180218)
More on the metric cone over complex projective 3-space as a G₂-manifold:
Last revised on July 17, 2024 at 12:05:22. See the history of this page for a list of all contributions to it.