Are there any manifolds that have NULL SCALAR curvature but not null ricci curvature tensor? For dim>2, obviously.
Edit: Are there, also, any manifolds of null scalar curvature but ricci curvature not proportional to the metric tensor?
Are there any manifolds that have NULL SCALAR curvature but not null ricci curvature tensor? For dim>2, obviously.
Edit: Are there, also, any manifolds of null scalar curvature but ricci curvature not proportional to the metric tensor?
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