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Reference for example of gradient steady Ricci solitons
Recently I read a paper about Ricci solitons. I quote a paragraph of it here:
In dimension three, the classification of complete gradient steady Ricci solitons is still open. Known examples are gi …
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Question on $\alpha-$Einstein manifolds
For Q2 I found the following:
In Ricci solitons and real hypersurfaces in a complex space form Cho and Kimura studied on Ricci solitons of real hypersurfaces in a non-flat complex space form and they …
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Question on $\alpha-$Einstein manifolds
A Riemannian manifold $(M,g)$ is called $\alpha-$Einstein if there exist a non-zero $1-$form $\alpha$ such
$$\rho=ag+b\alpha\otimes\alpha$$
where $a,b$ are smooth functions on $M$ and $\rho$ is ricci …