• Corpus ID: 252531154

A Variational Approach to SKT and Balanced Metrics

@inproceedings{Dinew2022AVA,
  title={A Variational Approach to SKT and Balanced Metrics},
  author={Sławomir Dinew and Dan Popovici},
  year={2022}
}
. We investigate compact complex manifolds endowed with SKT or balanced metrics. In each case we define a new functional whose critical points are proved to be precisely the K¨ahler metrics, if any, on the manifold. As general manifolds of either type need not admit K¨ahler metrics, this provides an approach to new obstructions to K¨ahlerianity within these two families of metrics. 

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