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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 160, Pages 110–120 (Mi znsl5428)  

The potential of the Weil-Petersson metric on Torelli space

P. G. Zograf, L. A. Takhtadzhyan
Abstract: It is proved that the function $12\pi\log(Z^\prime(1)/\det\operatorname{Im}\tau)$, where $Z(s)$ is Sel'berg zeta function and $\tau$ is the matrix of the periods of a distinguished Riemann surface, is a potential of the Weil-Petersson metric on the Torelli space.
Bibliographic databases:
Document Type: Article
UDC: 513.8
Language: Russian
Citation: P. G. Zograf, L. A. Takhtadzhyan, “The potential of the Weil-Petersson metric on Torelli space”, Analytical theory of numbers and theory of functions. Part 8, Zap. Nauchn. Sem. LOMI, 160, "Nauka", Leningrad. Otdel., Leningrad, 1987, 110–120
Citation in format AMSBIB
\Bibitem{ZogTak87}
\by P.~G.~Zograf, L.~A.~Takhtadzhyan
\paper The potential of the Weil-Petersson metric on Torelli space
\inbook Analytical theory of numbers and theory of functions. Part~8
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 160
\pages 110--120
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5428}
\zmath{https://zbmath.org/?q=an:0900.32007|0631.32020}
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