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Results tagged with holonomy
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user 167165
1
vote
0
answers
153
views
Fundamental $1$-form for a Riemannian manifold?
Take a Hermitian manifold $(M,I,g)$ where $I$ is the complex structure and $g$ is the Hermitian metric. The associated fundamental $2$-form
$
g(\cdot,I(\cdot))
$
captures a lot of the information abou …
- 203
1
vote
1
answer
138
views
Quaternion-Sasakian manifolds and special holonomy Sasakian manifolds
What about special holonomy? Does there exist a notion of $Spin(7)$-Sasakian manifold. What about $G_2$-holonomy?
Can one use find an even dimensional analogue? …
- 203