The complex moduli space of a Calabi-Yau manifold is a complex manifold (BTT). Is it also Kahler ?



is complex moduli space of a Calabi - Yau Kahler
Yes, see
<http://www.scholarpedia.org/article/Calabi-Yau_manifold#Moduli_of_high_dimensional_Calabi-Yau_manifolds>


