Summary
The existence of canonical metrics has been an active research focus in geometry over the last century with immediate ties to the fields of general relativity and string theory. Canonical metrics can provide valuable insight into the specific geometry of geometric objects called manifolds. An example of canonical metrics are solutions to the Einstein field equations which relate the geometry of a spacetime, specifically the curvature, with the distribution of matter, energy and stress. In complex geometry, Calabi-Yau metrics, which are those with zero Ricci curvature, are a prime example of ca
