6
votes
Accepted
$S^3$ as a Sasakian Manifold
I will answer your question for $S^{2n+1}$, since there is no difference between the case $n=1$ and the case of general $n$.
Let $(M^{2n+1},g,\theta)$ be a Sasakian manifold. One definition of a ...
- 1,713
2
votes
Quaternion-Sasakian manifolds and special holonomy Sasakian manifolds
Nearly-Kahler manifold are the 6-dimensional links of G2-cones,
see https://en.wikipedia.org/wiki/Nearly_K%C3%A4hler_manifold
I do not know about the others
- 135
2
votes
Accepted
Spin structures on Sasakian manifolds and the Kähler analogy
Every Sasakian manifold $M$ (of dimension $2k+1$) has a canonical $\mathrm{Spin}^c$ structure, because the cone $\overline{M}$ over $M$ is Kähler and thus has a canonical $\mathrm{Spin}^c$ structure ...
- 8,597
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