Zero-scalar curvature metric

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This article defines a property that makes sense for a Riemannian metric over a differential manifold

This is the property of the following curvature being everywhere zero: scalar curvature

Definition

Symbol-free definition

A Riemannian metric on a differential manifold is said to be a zero-scalar curvature metric if the scalar curvature corresponding to this Riemannian metric is zero at all points.

Relation with other properties

Stronger properties

Weaker properties