Timeline for Riemannian manifolds that are scalar flat but not Ricci flat

9 events

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Oct 13, 2020 at 14:38	history	edited	YCor	CC BY-SA 4.0	fixed typing (the question was bumped anyway)
Jul 20, 2017 at 20:46	comment	added	user21574		Let for symplectic manifold $(X,\omega)$ we have $ [ω]=λ⋅c_1(X)$ for some $λ∈R_{>0}$, such manifolds are called monotone symplectic manifold. Fukaya category of a monotone symplectic manifold are very important to verify HMS
Jun 8, 2017 at 15:30	comment	added	user21574		To generalize your question in Kähler $M$, If $ω$ a Kähler metric of constant scalar curvature with $\pi c_1(M)=λ[\omega]$,, then $\omega$ is Kähler-Einstein metric. See Proposition 2.12 in the book of Gang Tian springer.com/in/book/9783764361945
Jun 8, 2017 at 14:53	comment	added	user21574		See this answer math.stackexchange.com/questions/47323/scalar-flat-metrics
Jun 8, 2017 at 14:01	history	edited	YCor		edited tags
Jun 8, 2017 at 12:49	answer	added	Bernd Ammann		timeline score: 2
Jun 20, 2011 at 2:27	answer	added	Viktor Bundle		timeline score: 7
Jun 8, 2011 at 6:54	comment	added	Anton Petrunin		There are a LOT of examples, first thing comes to mind is a products of unit sphere and surface of constant curvature $-1$. This condition is too soft (opposite of rigid), you can not expect to have a classification.
Jun 8, 2011 at 6:40	history	asked	atreyee	CC BY-SA 3.0