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Results tagged with quaternionic-geometry
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user 81645
2
votes
0
answers
84
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What are the Cartan geometries modeled on $\mathbb{H}P^m$?
I am not an expert on Cartan Geometry (in fact, I have just read and understood the definition, at a basic level). I have the following questions:
1) Can someone please describe what are the Cartan g …
- 5,215
8
votes
0
answers
93
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Is there a quaternionic analogue of Kodaira's embedding theorem?
Let $M$ be a $4m$-dimensional Quaternion-Kähler manifold of positive scalar curvature. Does there exist an $n$ large enough, so that $M$ can be embedded inside $\mathbb{H}P^n$ via a quaternionic embed …
- 5,215
4
votes
0
answers
73
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Do geodesics on a hyperkähler quotient have nice lifts?
Suppose one has a flat quaternionic vector space $V$, with a compatible inner product $g$. So $(V,g)$ is a flat hyperkähler manifold. Assume that there is some compact Lie group $G$ acting on $V$ isom …
- 5,215