We show the vanishing of the log-term in the Fefferman expansion of the Bergman kernel of the disk bundle over a compact simply-connected homogeneous Kähler–Einstein manifold of classical type. Our results extends that in (Engliš and Zhang, Math Z 264(4):901–912, 2010) for the case of Hermitian symmetric spaces of compact type.
The log-term of the Bergman kernel of the disc bundle over a homogeneous Hodge manifold
Andrea Loi;Roberto Mossa;Fabio Zuddas
2017-01-01
Abstract
We show the vanishing of the log-term in the Fefferman expansion of the Bergman kernel of the disk bundle over a compact simply-connected homogeneous Kähler–Einstein manifold of classical type. Our results extends that in (Engliš and Zhang, Math Z 264(4):901–912, 2010) for the case of Hermitian symmetric spaces of compact type.
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