Geodesic
Curvature properties of the Calabi-Yau moduli
Documenta mathematica, Tome 8 (2003), pp. 577-590
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A curvature formula for the Weil-Petersson metric on the Calabi-Yau moduli spaces is given. Its relations to the Hodge metrics and the Bryant-Griffiths cubic form are obtained in the threefold case. Asymptotic behavior of the curvature near the boundary of moduli is also discussed via the theory of variations of Hodge structures.
DOI : 10.4171/dm/152
Classification : 32G20, 32Q25
Mots-clés : Weil-Petersson metric, Calabi-Yau manifold, variations of Hodge structures 
@article{10_4171_dm_152,
     author = {Chin-Lung Wang},
     title = {Curvature properties of the {Calabi-Yau} moduli},
     journal = {Documenta mathematica},
     pages = {577--590},
     year = {2003},
     volume = {8},
     doi = {10.4171/dm/152},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/152/}
}
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Chin-Lung Wang. Curvature properties of the Calabi-Yau moduli. Documenta mathematica, Tome 8 (2003), pp. 577-590. doi: 10.4171/dm/152

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