Abstract
It is proved that the function 12 π log (Z′(1)/det Im τ), where Z(s) is Sel'berg zeta function and τ is the matrix of the periods of a distinguished Riemann surface, is a potential of the Weil-Petersson metric on the Torelli space.
| Original language | English |
|---|---|
| Pages (from-to) | 3077-3085 |
| Number of pages | 9 |
| Journal | Journal of Soviet Mathematics |
| Volume | 52 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 1990 |
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