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math.DG2022
Hodge Laplacian and geometry of Kuranishi family of Fano manifolds
Akito Futaki, Xiaofeng Sun, Yingying Zhang
We first obtain eigenvalue estimates for the Hodge Laplacian on Fano manifolds, which follow from the Bochner-Kodaira formula. Then we apply it to study the geometry of the Kuranis…
math.DG2022★ 1 cited
A Weil-Petersson Type Metric on the Space of Fano Kaehler-Ricci Solitons
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper we define a Weil-Petersson type metric on the space of shrinking Kaehler-Ricci solitons and prove a necessary and sufficient condition on when it is independent of th…