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i have a question to special cases of Sasaki-manifolds. Let $(M, g, \xi, \eta, \Phi)$ a Sasaki-manifold.

In special case maybe $M=S^{2m+1} \cong \mathbb{C}^{m+1}$. This is a Sasaki manifold. But what is $\Phi$?

Analogous: Let $M=\mathbb{R}^{2m+1}$, it is also Sasaki, but what is $\xi$ or $\Phi$?

Thanks and best regards Ronald

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    Have $y$ou tried reading the Wikipedia page for Sasakian manifolds? Does that not providethe information $y$ou're looking for? You haven't told us what your notation is supposed to mean so your question isn't clear.2010-11-21

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