Weil-Petersson Metric in the Moduli Space of Compact Polarized Kähler-Einstein Manifolds of Zero First Chern Class.
Vanishing theorems for twistor spaces
On the curvature of moduli space of special Lagrangian submanifolds
In this paper we study the curvature tensor of the Riemannian metric defined in a natural way on the moduli space of compact special Lagrangian submanifolds of a Calabi-Yau manifold. We state some curvature properties and we prove that the Ricci curvature is non negative under an assumption on the determinant of .
Propriétés globales de l'espace de twisteurs
We study global properties of the twistor space over an even dimensional conformally flat manifold, proving that the twistor space is Kähler if and only if the manifold is conformally equivalent to the standard -dimensional sphere ().
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