Abstract
The Weil-Petersson metric is defined on the moduli space of Calabi-Yau manifolds. The curvature of this Weil-Petersson metrics is computed and its potential is explicitely defined. It is proved that the moduli space of Calabi-Yau manifolds is unobstructed (see Tian).
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Communicated by S.-T. Yau
Dedicated to Lipman Bers on the occasion of his 75th birthday
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Todorov, A.N. The Weil-Petersson geometry of the moduli space ofSU(n≧3) (Calabi-Yau) manifolds I. Commun.Math. Phys. 126, 325–346 (1989). https://doi.org/10.1007/BF02125128
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DOI: https://doi.org/10.1007/BF02125128