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The Weil-Petersson metric is a Kahler metric on the moduli space of Calabi-Yau varieties, the moduli space of general type varieties, the moduli space of K-stable Fano varieties, and more generally, we can define it on the moduli space of stable varieties.

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Weil-Petersson norm of a Beltrami form

I'm reading Scott Wolpert's paper Noncompleteness of the Weil-Petersson metric for Teichmüller Space. He defines a path leading to the boundary of Teichmüller Space by giving surfaces $R_t$ determine …
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