A Note on The Dirichlet Metric for the Space of Kahler Metrics

Details A Note on The Dirichlet Metric for the Space of Kahler Metrics A Note on The Dirichlet Metric for the Space of Kahler Metrics

2012-02-29

arxiv.org/abs/1202.6610v1

Mathematics

Differential Geometry

Scientific paper

This work is the proposal for a Riemannian structure on the space of Kahler
metrics, which we call Dirichlet metric. We motivate its study, we compute its
curvature, and we make links with the Calabi metric, the K-energy, the complex
Hessian equation.

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